79473920 has 72 divisors (see below), whose sum is σ = 197021160. Its totient is φ = 30679040.

The previous prime is 79473913. The next prime is 79473973. The reversal of 79473920 is 2937497.

It can be written as a sum of positive squares in 4 ways, for example, as 26708224 + 52765696 = 5168^2 + 7264^2 .

It is a super-2 number, since 2×79473920² = 12632207920332800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36050 + ... + 38190.

It is an arithmetic number, because the mean of its divisors is an integer number (2736405).

Almost surely, 2^79473920 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 79473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98510580).

79473920 is an abundant number, since it is smaller than the sum of its proper divisors (117547240).

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

79473920 is a wasteful number, since it uses less digits than its factorization.

79473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 79473920 is about 8914.8146363231. The cubic root of 79473920 is about 429.9403558881.

The spelling of 79473920 in words is "seventy-nine million, four hundred seventy-three thousand, nine hundred twenty".