79454880 has 144 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 20258304.

The previous prime is 79454783. The next prime is 79454899. The reversal of 79454880 is 8845497.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 31921 + ... + 34319.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^79454880 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 79454880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

79454880 is an abundant number, since it is smaller than the sum of its proper divisors (203591520).

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

79454880 is a wasteful number, since it uses less digits than its factorization.

79454880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 79454880 is about 8913.7466869998. The cubic root of 79454880 is about 429.9060187614.

The spelling of 79454880 in words is "seventy-nine million, four hundred fifty-four thousand, eight hundred eighty".