79924320 has 240 divisors, whose sum is σ = 322727328. Its totient is φ = 18247680.

The previous prime is 79924307. The next prime is 79924321. The reversal of 79924320 is 2342997.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79924321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90280 + ... + 91160.

Almost surely, 2^79924320 is an apocalyptic number.

79924320 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 79924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161363664).

79924320 is an abundant number, since it is smaller than the sum of its proper divisors (242803008).

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

79924320 is a wasteful number, since it uses less digits than its factorization.

79924320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 898 counting only the distinct ones).

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

The square root of 79924320 is about 8940.0402683657. The cubic root of 79924320 is about 430.7510221241.

The spelling of 79924320 in words is "seventy-nine million, nine hundred twenty-four thousand, three hundred twenty".