55877760 has 192 divisors, whose sum is σ = 196911000. Its totient is φ = 14598144.

The previous prime is 55877753. The next prime is 55877791. The reversal of 55877760 is 6777855.

55877760 is a `hidden beast` number, since 5 + 587 + 7 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41679936 + 14197824 = 6456^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512586 + ... + 512694.

Almost surely, 2^55877760 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 55877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98455500).

55877760 is an abundant number, since it is smaller than the sum of its proper divisors (141033240).

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

55877760 is a wasteful number, since it uses less digits than its factorization.

55877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 55877760 is about 7475.1428080004. The cubic root of 55877760 is about 382.3076567230.

The spelling of 55877760 in words is "fifty-five million, eight hundred seventy-seven thousand, seven hundred sixty".