56765280 has 192 divisors, whose sum is σ = 210325248. Its totient is φ = 12687360.

The previous prime is 56765231. The next prime is 56765287. The reversal of 56765280 is 8256765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56765287) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 68227 + ... + 69053.

It is an arithmetic number, because the mean of its divisors is an integer number (1095444).

Almost surely, 2^56765280 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 56765280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105162624).

56765280 is an abundant number, since it is smaller than the sum of its proper divisors (153559968).

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

56765280 is a wasteful number, since it uses less digits than its factorization.

56765280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 56765280 is about 7534.2736876225. The cubic root of 56765280 is about 384.3211289430.

The spelling of 56765280 in words is "fifty-six million, seven hundred sixty-five thousand, two hundred eighty".