79380480 has 240 divisors, whose sum is σ = 283106880. Its totient is φ = 18874368.

The previous prime is 79380479. The next prime is 79380527. The reversal of 79380480 is 8408397.

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

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, 4177911 + ... + 4177929.

It is an arithmetic number, because the mean of its divisors is an integer number (1179612).

Almost surely, 2^79380480 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 79380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141553440).

79380480 is an abundant number, since it is smaller than the sum of its proper divisors (203726400).

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

79380480 is a wasteful number, since it uses less digits than its factorization.

79380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 79380480 is about 8909.5723803110. The cubic root of 79380480 is about 429.7717916530.

The spelling of 79380480 in words is "seventy-nine million, three hundred eighty thousand, four hundred eighty".