79434880 has 192 divisors, whose sum is σ = 235467000. Its totient is φ = 25460736.

The previous prime is 79434851. The next prime is 79434881. The reversal of 79434880 is 8843497.

It can be written as a sum of positive squares in 4 ways, for example, as 58859584 + 20575296 = 7672^2 + 4536^2 .

It is a super-2 number, since 2×79434880² = 12619800321228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (79434881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533046 + ... + 533194.

Almost surely, 2^79434880 is an apocalyptic number.

79434880 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 79434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117733500).

79434880 is an abundant number, since it is smaller than the sum of its proper divisors (156032120).

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

79434880 is a wasteful number, since it uses less digits than its factorization.

79434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 79434880 is about 8912.6247536851. The cubic root of 79434880 is about 429.8699444431.

The spelling of 79434880 in words is "seventy-nine million, four hundred thirty-four thousand, eight hundred eighty".