79442496 has 336 divisors, whose sum is σ = 294802560. Its totient is φ = 19906560.

The previous prime is 79442443. The next prime is 79442501. The reversal of 79442496 is 69424497.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×79442496² = 12622220341420032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 1302306 + ... + 1302366.

Almost surely, 2^79442496 is an apocalyptic number.

79442496 is a gapful number since it is divisible by the number (76) 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 79442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147401280).

79442496 is an abundant number, since it is smaller than the sum of its proper divisors (215360064).

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

79442496 is a wasteful number, since it uses less digits than its factorization.

79442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 79442496 is about 8913.0520025410. The cubic root of 79442496 is about 429.8836822573.

It can be divided in two parts, 7944 and 2496, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 79442496 in words is "seventy-nine million, four hundred forty-two thousand, four hundred ninety-six".