79418880 has 200 divisors, whose sum is σ = 285196032. Its totient is φ = 21123072.

The previous prime is 79418873. The next prime is 79418887. The reversal of 79418880 is 8881497.

It is an interprime number because it is at equal distance from previous prime (79418873) and next prime (79418887).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79418887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207169 + ... + 207551.

Almost surely, 2^79418880 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 79418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142598016).

79418880 is an abundant number, since it is smaller than the sum of its proper divisors (205777152).

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

79418880 is an equidigital number, since it uses as much as digits as its factorization.

79418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 79418880 is about 8911.7271053371. The cubic root of 79418880 is about 429.8410806284.

The spelling of 79418880 in words is "seventy-nine million, four hundred eighteen thousand, eight hundred eighty".