79457280 has 176 divisors, whose sum is σ = 290837760. Its totient is φ = 18137088.

The previous prime is 79457239. The next prime is 79457291. The reversal of 79457280 is 8275497.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 107151 + ... + 107889.

Almost surely, 2^79457280 is an apocalyptic number.

79457280 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 79457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145418880).

79457280 is an abundant number, since it is smaller than the sum of its proper divisors (211380480).

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

79457280 is a wasteful number, since it uses less digits than its factorization.

79457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 79457280 is about 8913.8813095082. The cubic root of 79457280 is about 429.9103472728.

It can be divided in two parts, 7945 and 7280, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 79457280 in words is "seventy-nine million, four hundred fifty-seven thousand, two hundred eighty".