77488800 has 144 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 20362240.

The previous prime is 77488793. The next prime is 77488813. The reversal of 77488800 is 888477.

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 23 ways as a sum of consecutive naturals, for example, 199006 + ... + 199394.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^77488800 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 77488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

77488800 is an abundant number, since it is smaller than the sum of its proper divisors (178432320).

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

77488800 is a wasteful number, since it uses less digits than its factorization.

77488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 77488800 is about 8802.7722905912. The cubic root of 77488800 is about 426.3304099784.

The spelling of 77488800 in words is "seventy-seven million, four hundred eighty-eight thousand, eight hundred".