79419120 has 160 divisors (see below), whose sum is σ = 273196800. Its totient is φ = 18923520.

The previous prime is 79419101. The next prime is 79419127. The reversal of 79419120 is 2191497.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79419127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176656 + ... + 177104.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 2^79419120 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 79419120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

79419120 is an abundant number, since it is smaller than the sum of its proper divisors (193777680).

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

79419120 is a wasteful number, since it uses less digits than its factorization.

79419120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 79419120 is about 8911.7405707303. The cubic root of 79419120 is about 429.8415136143.

The spelling of 79419120 in words is "seventy-nine million, four hundred nineteen thousand, one hundred twenty".