76507680 has 96 divisors (see below), whose sum is σ = 253713600. Its totient is φ = 19325952.

The previous prime is 76507631. The next prime is 76507703. The reversal of 76507680 is 8670567.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 4926 + ... + 13314.

It is an arithmetic number, because the mean of its divisors is an integer number (2642850).

Almost surely, 2^76507680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126856800).

76507680 is an abundant number, since it is smaller than the sum of its proper divisors (177205920).

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

76507680 is a wasteful number, since it uses less digits than its factorization.

76507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8426 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 76507680 is about 8746.8668676275. The cubic root of 76507680 is about 424.5234427627.

The spelling of 76507680 in words is "seventy-six million, five hundred seven thousand, six hundred eighty".