79481600 has 108 divisors (see below), whose sum is σ = 214803960. Its totient is φ = 28876800.

The previous prime is 79481599. The next prime is 79481627. The reversal of 79481600 is 618497.

It is a super-3 number, since 3×79481600³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69836 + ... + 70964.

Almost surely, 2^79481600 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 79481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107401980).

79481600 is an abundant number, since it is smaller than the sum of its proper divisors (135322360).

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

79481600 is a wasteful number, since it uses less digits than its factorization.

79481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 79481600 is about 8915.2453695902. The cubic root of 79481600 is about 429.9542046055.

The spelling of 79481600 in words is "seventy-nine million, four hundred eighty-one thousand, six hundred".