79815456 has 240 divisors, whose sum is σ = 276623424. Its totient is φ = 22104576.

The previous prime is 79815419. The next prime is 79815457. The reversal of 79815456 is 65451897.

It is not an unprimeable number, because it can be changed into a prime (79815457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 961591 + ... + 961673.

Almost surely, 2^79815456 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 79815456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138311712).

79815456 is an abundant number, since it is smaller than the sum of its proper divisors (196807968).

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

79815456 is a wasteful number, since it uses less digits than its factorization.

79815456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 79815456 is about 8933.9496304826. The cubic root of 79815456 is about 430.5553595843. Note that the first 3 decimals are identical.

The spelling of 79815456 in words is "seventy-nine million, eight hundred fifteen thousand, four hundred fifty-six".