80055756 has 96 divisors (see below), whose sum is σ = 229555200. Its totient is φ = 23924160.

The previous prime is 80055727. The next prime is 80055761. The reversal of 80055756 is 65755008.

80055756 is a `hidden beast` number, since 80 + 0 + 5 + 575 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 80055756.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93426 + ... + 94278.

It is an arithmetic number, because the mean of its divisors is an integer number (2391200).

Almost surely, 2^80055756 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 80055756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114777600).

80055756 is an abundant number, since it is smaller than the sum of its proper divisors (149499444).

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

80055756 is a wasteful number, since it uses less digits than its factorization.

80055756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 80055756 is about 8947.3882222691. The cubic root of 80055756 is about 430.9870169771.

The spelling of 80055756 in words is "eighty million, fifty-five thousand, seven hundred fifty-six".