76472880 has 160 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 18263040.

The previous prime is 76472873. The next prime is 76472881. The reversal of 76472880 is 8827467.

It is not an unprimeable number, because it can be changed into a prime (76472881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 218946 + ... + 219294.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^76472880 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 76472880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

76472880 is an abundant number, since it is smaller than the sum of its proper divisors (186010320).

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

76472880 is a wasteful number, since it uses less digits than its factorization.

76472880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 76472880 is about 8744.8773576306. The cubic root of 76472880 is about 424.4590672809.

The spelling of 76472880 in words is "seventy-six million, four hundred seventy-two thousand, eight hundred eighty".