76662960 has 160 divisors (see below), whose sum is σ = 263554560. Its totient is φ = 18278400.

The previous prime is 76662931. The next prime is 76662977. The reversal of 76662960 is 6926667.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187236 + ... + 187644.

It is an arithmetic number, because the mean of its divisors is an integer number (1647216).

Almost surely, 2^76662960 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 76662960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131777280).

76662960 is an abundant number, since it is smaller than the sum of its proper divisors (186891600).

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

76662960 is a wasteful number, since it uses less digits than its factorization.

76662960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 76662960 is about 8755.7386895681. The cubic root of 76662960 is about 424.8104529615.

The spelling of 76662960 in words is "seventy-six million, six hundred sixty-two thousand, nine hundred sixty".