79219440 has 120 divisors (see below), whose sum is σ = 271821888. Its totient is φ = 20666880.

The previous prime is 79219423. The next prime is 79219447. The reversal of 79219440 is 4491297.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 79219395 and 79219404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79219447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32670 + ... + 35010.

Almost surely, 2^79219440 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 79219440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135910944).

79219440 is an abundant number, since it is smaller than the sum of its proper divisors (192602448).

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

79219440 is a wasteful number, since it uses less digits than its factorization.

79219440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 79219440 is about 8900.5303212786. The cubic root of 79219440 is about 429.4809674067.

The spelling of 79219440 in words is "seventy-nine million, two hundred nineteen thousand, four hundred forty".