79119840 has 96 divisors (see below), whose sum is σ = 250822656. Its totient is φ = 20963840.

The previous prime is 79119811. The next prime is 79119851. The reversal of 79119840 is 4891197.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 91249 + ... + 92111.

It is an arithmetic number, because the mean of its divisors is an integer number (2612736).

Almost surely, 2^79119840 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 79119840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125411328).

79119840 is an abundant number, since it is smaller than the sum of its proper divisors (171702816).

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

79119840 is a wasteful number, since it uses less digits than its factorization.

79119840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 79119840 is about 8894.9333892953. The cubic root of 79119840 is about 429.3009011504.

The spelling of 79119840 in words is "seventy-nine million, one hundred nineteen thousand, eight hundred forty".