76930560 has 400 divisors, whose sum is σ = 320845536. Its totient is φ = 17252352.

The previous prime is 76930547. The next prime is 76930643. The reversal of 76930560 is 6503967.

It is a happy number.

76930560 is a `hidden beast` number, since 7 + 6 + 93 + 0 + 560 = 666.

It is a super-2 number, since 2×76930560² = 11836622123827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1451494 + ... + 1451546.

Almost surely, 2^76930560 is an apocalyptic number.

76930560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160422768).

76930560 is an abundant number, since it is smaller than the sum of its proper divisors (243914976).

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

76930560 is an equidigital number, since it uses as much as digits as its factorization.

76930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 76930560 is about 8771.0067837165. The cubic root of 76930560 is about 425.3041605849.

It can be divided in two parts, 769 and 30560, that added together give a square (31329 = 177²).

The spelling of 76930560 in words is "seventy-six million, nine hundred thirty thousand, five hundred sixty".