79260480 has 336 divisors, whose sum is σ = 307878480. Its totient is φ = 18579456.

The previous prime is 79260479. The next prime is 79260491. The reversal of 79260480 is 8406297.

It can be written as a sum of positive squares in 8 ways, for example, as 3779136 + 75481344 = 1944^2 + 8688^2 .

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 47 ways as a sum of consecutive naturals, for example, 1085724 + ... + 1085796.

It is an arithmetic number, because the mean of its divisors is an integer number (916305).

Almost surely, 2^79260480 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 79260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153939240).

79260480 is an abundant number, since it is smaller than the sum of its proper divisors (228618000).

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

79260480 is a wasteful number, since it uses less digits than its factorization.

79260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 79260480 is about 8902.8355033663. The cubic root of 79260480 is about 429.5551194753. Note that the first 3 decimals are identical.

The spelling of 79260480 in words is "seventy-nine million, two hundred sixty thousand, four hundred eighty".