79354880 has 88 divisors (see below), whose sum is σ = 207811440. Its totient is φ = 28835840.

The previous prime is 79354859. The next prime is 79354883. The reversal of 79354880 is 8845397.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79354883) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55616 + ... + 57024.

Almost surely, 2^79354880 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 79354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103905720).

79354880 is an abundant number, since it is smaller than the sum of its proper divisors (128456560).

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

79354880 is a wasteful number, since it uses less digits than its factorization.

79354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 79354880 is about 8908.1356074097. The cubic root of 79354880 is about 429.7255865876.

The spelling of 79354880 in words is "seventy-nine million, three hundred fifty-four thousand, eight hundred eighty".