78579720 has 160 divisors (see below), whose sum is σ = 268329600. Its totient is φ = 20621952.

The previous prime is 78579719. The next prime is 78579803. The reversal of 78579720 is 2797587.

78579720 is a `hidden beast` number, since 7 + 8 + 579 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 255807 + ... + 256113.

It is an arithmetic number, because the mean of its divisors is an integer number (1677060).

Almost surely, 2^78579720 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 78579720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134164800).

78579720 is an abundant number, since it is smaller than the sum of its proper divisors (189749880).

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

78579720 is a wasteful number, since it uses less digits than its factorization.

78579720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 78579720 is about 8864.5202915894. The cubic root of 78579720 is about 428.3217803193.

The spelling of 78579720 in words is "seventy-eight million, five hundred seventy-nine thousand, seven hundred twenty".