76766880 has 48 divisors (see below), whose sum is σ = 241817184. Its totient is φ = 20471040.

The previous prime is 76766831. The next prime is 76766887. The reversal of 76766880 is 8866767.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (76766887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79486 + ... + 80445.

It is an arithmetic number, because the mean of its divisors is an integer number (5037858).

Almost surely, 2^76766880 is an apocalyptic number.

It is an amenable number.

76766880 is an abundant number, since it is smaller than the sum of its proper divisors (165050304).

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

76766880 is a wasteful number, since it uses less digits than its factorization.

76766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159949 (or 159941 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 76766880 is about 8761.6710734882. The cubic root of 76766880 is about 425.0023160197.

The spelling of 76766880 in words is "seventy-six million, seven hundred sixty-six thousand, eight hundred eighty".