76566720 has 56 divisors (see below), whose sum is σ = 243102384. Its totient is φ = 20417536.

The previous prime is 76566709. The next prime is 76566731. The reversal of 76566720 is 2766567.

It is an interprime number because it is at equal distance from previous prime (76566709) and next prime (76566731).

It is a super-2 number, since 2×76566720² = 11724925223116800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38919 + ... + 40838.

It is an arithmetic number, because the mean of its divisors is an integer number (4341114).

Almost surely, 2^76566720 is an apocalyptic number.

It is an amenable number.

76566720 is an abundant number, since it is smaller than the sum of its proper divisors (166535664).

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

76566720 is a wasteful number, since it uses less digits than its factorization.

76566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79777 (or 79767 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 76566720 is about 8750.2411395344. The cubic root of 76566720 is about 424.6326144593.

The spelling of 76566720 in words is "seventy-six million, five hundred sixty-six thousand, seven hundred twenty".