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76878690 = 2357418929
BaseRepresentation
bin1001001010100…
…01001101100010
312100122211201220
410211101031202
5124140104230
611343435510
71622313060
oct445211542
9170584656
1076878690
113a43a109
12218b5b96
1312c09765
14a2d3030
156b38d10
hex4951362

76878690 has 64 divisors (see below), whose sum is σ = 216034560. Its totient is φ = 17141760.

The previous prime is 76878689. The next prime is 76878707. The reversal of 76878690 is 9687867.

It is a happy number.

It is a super-2 number, since 2×768786902 = 11820665952232200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4146 + ... + 13074.

It is an arithmetic number, because the mean of its divisors is an integer number (3375540).

Almost surely, 276878690 is an apocalyptic number.

76878690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76878690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108017280).

76878690 is an abundant number, since it is smaller than the sum of its proper divisors (139155870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76878690 is a wasteful number, since it uses less digits than its factorization.

76878690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987.

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 76878690 is about 8768.0493839850. The cubic root of 76878690 is about 425.2085527765.

The spelling of 76878690 in words is "seventy-six million, eight hundred seventy-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2870 4305 8610 8929 17858 26787 44645 53574 62503 89290 125006 133935 187509 267870 312515 366089 375018 625030 732178 937545 1098267 1830445 1875090 2196534 2562623 3660890 5125246 5491335 7687869 10982670 12813115 15375738 25626230 38439345 76878690