79249920 has 160 divisors (see below), whose sum is σ = 268697088. Its totient is φ = 19857408.

The previous prime is 79249897. The next prime is 79249939. The reversal of 79249920 is 2994297.

79249920 = 13² + 14² + ... + 619².

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130257 + ... + 130863.

Almost surely, 2^79249920 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 79249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134348544).

79249920 is an abundant number, since it is smaller than the sum of its proper divisors (189447168).

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

79249920 is a wasteful number, since it uses less digits than its factorization.

79249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 79249920 is about 8902.2424141336. The cubic root of 79249920 is about 429.5360418571.

The spelling of 79249920 in words is "seventy-nine million, two hundred forty-nine thousand, nine hundred twenty".