77554816 has 64 divisors (see below), whose sum is σ = 169371000. Its totient is φ = 35209216.

The previous prime is 77554801. The next prime is 77554861. The reversal of 77554816 is 61845577.

It can be written as a sum of positive squares in 4 ways, for example, as 76737600 + 817216 = 8760^2 + 904^2 .

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

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, 62490 + ... + 63718.

Almost surely, 2^77554816 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 77554816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84685500).

77554816 is an abundant number, since it is smaller than the sum of its proper divisors (91816184).

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

77554816 is a wasteful number, since it uses less digits than its factorization.

77554816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1277 counting only the distinct ones).

The product of its digits is 235200, while the sum is 43.

The square root of 77554816 is about 8806.5212200959. The cubic root of 77554816 is about 426.4514452746.

The spelling of 77554816 in words is "seventy-seven million, five hundred fifty-four thousand, eight hundred sixteen".