76946880 has 56 divisors (see below), whose sum is σ = 244309392. Its totient is φ = 20518912.

The previous prime is 76946843. The next prime is 76946917. The reversal of 76946880 is 8864967.

It is an interprime number because it is at equal distance from previous prime (76946843) and next prime (76946917).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 39117 + ... + 41036.

Almost surely, 2^76946880 is an apocalyptic number.

It is an amenable number.

76946880 is an abundant number, since it is smaller than the sum of its proper divisors (167362512).

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

76946880 is a wasteful number, since it uses less digits than its factorization.

76946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80173 (or 80163 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 76946880 is about 8771.9370722777. The cubic root of 76946880 is about 425.3342330431.

The spelling of 76946880 in words is "seventy-six million, nine hundred forty-six thousand, eight hundred eighty".