79472400 has 120 divisors (see below), whose sum is σ = 290975424. Its totient is φ = 18163200.

The previous prime is 79472377. The next prime is 79472413. The reversal of 79472400 is 427497.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3670 + ... + 13130.

Almost surely, 2^79472400 is an apocalyptic number.

79472400 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 79472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145487712).

79472400 is an abundant number, since it is smaller than the sum of its proper divisors (211503024).

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

79472400 is a wasteful number, since it uses less digits than its factorization.

79472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 79472400 is about 8914.7293845635. The cubic root of 79472400 is about 429.9376148904.

Adding to 79472400 its reverse (427497), we get a palindrome (79899897).

The spelling of 79472400 in words is "seventy-nine million, four hundred seventy-two thousand, four hundred".