77625984 has 64 divisors (see below), whose sum is σ = 212878080. Its totient is φ = 25036800.

The previous prime is 77625971. The next prime is 77625991. The reversal of 77625984 is 48952677.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 8644 + ... + 15164.

It is an arithmetic number, because the mean of its divisors is an integer number (3326220).

Almost surely, 2^77625984 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 77625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106439040).

77625984 is an abundant number, since it is smaller than the sum of its proper divisors (135252096).

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

77625984 is a wasteful number, since it uses less digits than its factorization.

77625984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569 (or 6557 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 77625984 is about 8810.5609356045. The cubic root of 77625984 is about 426.5818494597.

The spelling of 77625984 in words is "seventy-seven million, six hundred twenty-five thousand, nine hundred eighty-four".