55702080 has 280 divisors, whose sum is σ = 227185728. Its totient is φ = 12690432.

The previous prime is 55702079. The next prime is 55702103. The reversal of 55702080 is 8020755.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 181287 + ... + 181593.

Almost surely, 2^55702080 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 55702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113592864).

55702080 is an abundant number, since it is smaller than the sum of its proper divisors (171483648).

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

55702080 is a wasteful number, since it uses less digits than its factorization.

55702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 55702080 is about 7463.3826111221. The cubic root of 55702080 is about 381.9065769366.

The spelling of 55702080 in words is "fifty-five million, seven hundred two thousand, eighty".