77551872 has 72 divisors (see below), whose sum is σ = 207752160. Its totient is φ = 25681920.

The previous prime is 77551861. The next prime is 77551913. The reversal of 77551872 is 27815577.

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 7 ways as a sum of consecutive naturals, for example, 184879 + ... + 185297.

Almost surely, 2^77551872 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 77551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103876080).

77551872 is an abundant number, since it is smaller than the sum of its proper divisors (130200288).

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

77551872 is a wasteful number, since it uses less digits than its factorization.

77551872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its digits is 137200, while the sum is 42.

The square root of 77551872 is about 8806.3540696477. The cubic root of 77551872 is about 426.4460491389.

The spelling of 77551872 in words is "seventy-seven million, five hundred fifty-one thousand, eight hundred seventy-two".