79478784 has 270 divisors, whose sum is σ = 291364164. Its totient is φ = 20643840.

The previous prime is 79478783. The next prime is 79478797. The reversal of 79478784 is 48787497.

It is a super-2 number, since 2×79478784² = 12633754212237312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 79478784.

It is not an unprimeable number, because it can be changed into a prime (79478783) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7225339 + ... + 7225349.

Almost surely, 2^79478784 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 79478784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145682082).

79478784 is an abundant number, since it is smaller than the sum of its proper divisors (211885380).

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

79478784 is a wasteful number, since it uses less digits than its factorization.

79478784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 79478784 is about 8915.0874364753. The cubic root of 79478784 is about 429.9491268461.

Subtracting from 79478784 its product of digits (3161088), we obtain a square (76317696 = 8736²).

The spelling of 79478784 in words is "seventy-nine million, four hundred seventy-eight thousand, seven hundred eighty-four".