59778560 has 80 divisors (see below), whose sum is σ = 150994800. Its totient is φ = 22634496.

The previous prime is 59778547. The next prime is 59778577. The reversal of 59778560 is 6587795.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48026 + ... + 49254.

It is an arithmetic number, because the mean of its divisors is an integer number (1887435).

Almost surely, 2^59778560 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 59778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75497400).

59778560 is an abundant number, since it is smaller than the sum of its proper divisors (91216240).

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

59778560 is a wasteful number, since it uses less digits than its factorization.

59778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 47.

The square root of 59778560 is about 7731.6595889886. The cubic root of 59778560 is about 391.0045546878.

The spelling of 59778560 in words is "fifty-nine million, seven hundred seventy-eight thousand, five hundred sixty".