76135675770 has 768 divisors, whose sum is σ = 272587161600. Its totient is φ = 14265538560.

The previous prime is 76135675769. The next prime is 76135675783. The reversal of 76135675770 is 7757653167.

76135675770 is a `hidden beast` number, since 7 + 6 + 1 + 3 + 5 + 67 + 577 + 0 = 666.

It is a super-2 number, since 2×76135675770² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 484940532 + ... + 484940688.

It is an arithmetic number, because the mean of its divisors is an integer number (354931200).

Almost surely, 2^76135675770 is an apocalyptic number.

76135675770 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 76135675770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136293580800).

76135675770 is an abundant number, since it is smaller than the sum of its proper divisors (196451485830).

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

76135675770 is a wasteful number, since it uses less digits than its factorization.

76135675770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 6482700, while the sum is 54.

The spelling of 76135675770 in words is "seventy-six billion, one hundred thirty-five million, six hundred seventy-five thousand, seven hundred seventy".