77385888 has 48 divisors (see below), whose sum is σ = 225711360. Its totient is φ = 25795008.

The previous prime is 77385877. The next prime is 77385899. The reversal of 77385888 is 88858377.

It is an interprime number because it is at equal distance from previous prime (77385877) and next prime (77385899).

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43920 + ... + 45647.

It is an arithmetic number, because the mean of its divisors is an integer number (4702320).

Almost surely, 2^77385888 is an apocalyptic number.

It is an amenable number.

77385888 is an abundant number, since it is smaller than the sum of its proper divisors (148325472).

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

77385888 is a wasteful number, since it uses less digits than its factorization.

77385888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89586 (or 89572 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 77385888 is about 8796.9249172651. The cubic root of 77385888 is about 426.1415914972.

The spelling of 77385888 in words is "seventy-seven million, three hundred eighty-five thousand, eight hundred eighty-eight".