77388960 has 96 divisors (see below), whose sum is σ = 265954752. Its totient is φ = 18759680.

The previous prime is 77388959. The next prime is 77388973. The reversal of 77388960 is 6988377.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×77388960² = 11978102259763200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2049 + ... + 12608.

It is an arithmetic number, because the mean of its divisors is an integer number (2770362).

Almost surely, 2^77388960 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 77388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132977376).

77388960 is an abundant number, since it is smaller than the sum of its proper divisors (188565792).

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

77388960 is a wasteful number, since it uses less digits than its factorization.

77388960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686 (or 14678 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 77388960 is about 8797.0995220016. The cubic root of 77388960 is about 426.1472302929.

The spelling of 77388960 in words is "seventy-seven million, three hundred eighty-eight thousand, nine hundred sixty".