55777312 has 48 divisors (see below), whose sum is σ = 116424000. Its totient is φ = 26231040.

The previous prime is 55777283. The next prime is 55777313. The reversal of 55777312 is 21377755.

It is a super-2 number, since 2×55777312² = 6222217067890688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55777313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120762 + ... + 121222.

It is an arithmetic number, because the mean of its divisors is an integer number (2425500).

Almost surely, 2^55777312 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 55777312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58212000).

55777312 is an abundant number, since it is smaller than the sum of its proper divisors (60646688).

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

55777312 is a wasteful number, since it uses less digits than its factorization.

55777312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 681 counting only the distinct ones).

The product of its digits is 51450, while the sum is 37.

The square root of 55777312 is about 7468.4209843849. The cubic root of 55777312 is about 382.0784356906.

The spelling of 55777312 in words is "fifty-five million, seven hundred seventy-seven thousand, three hundred twelve".