79803360 has 576 divisors, whose sum is σ = 361972800. Its totient is φ = 16257024.

The previous prime is 79803359. The next prime is 79803403. The reversal of 79803360 is 6330897.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751826 + ... + 2751854.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 2^79803360 is an apocalyptic number.

79803360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79803360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180986400).

79803360 is an abundant number, since it is smaller than the sum of its proper divisors (282169440).

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

79803360 is a wasteful number, since it uses less digits than its factorization.

79803360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 79803360 is about 8933.2726366097. The cubic root of 79803360 is about 430.5336083221.

The spelling of 79803360 in words is "seventy-nine million, eight hundred three thousand, three hundred sixty".