59978880 has 320 divisors, whose sum is σ = 233263800. Its totient is φ = 14598144.

The previous prime is 59978879. The next prime is 59978899. The reversal of 59978880 is 8887995.

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 32353344 = 5256^2 + 5688^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 534 × 234 × 480.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673876 + ... + 673964.

Almost surely, 2^59978880 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 59978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116631900).

59978880 is an abundant number, since it is smaller than the sum of its proper divisors (173284920).

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

59978880 is a wasteful number, since it uses less digits than its factorization.

59978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 59978880 is about 7744.6032822863. The cubic root of 59978880 is about 391.4408242792.

The spelling of 59978880 in words is "fifty-nine million, nine hundred seventy-eight thousand, eight hundred eighty".