77672576 has 32 divisors (see below), whose sum is σ = 158042880. Its totient is φ = 38007040.

The previous prime is 77672537. The next prime is 77672593. The reversal of 77672576 is 67527677.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 77672576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 440 + ... + 12471.

It is an arithmetic number, because the mean of its divisors is an integer number (4938840).

Almost surely, 2^77672576 is an apocalyptic number.

It is an amenable number.

77672576 is an abundant number, since it is smaller than the sum of its proper divisors (80370304).

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

77672576 is a wasteful number, since it uses less digits than its factorization.

77672576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12972 (or 12960 counting only the distinct ones).

The product of its digits is 864360, while the sum is 47.

The square root of 77672576 is about 8813.2046384956. The cubic root of 77672576 is about 426.6671788188.

The spelling of 77672576 in words is "seventy-seven million, six hundred seventy-two thousand, five hundred seventy-six".