79242240 has 352 divisors, whose sum is σ = 320707584. Its totient is φ = 16220160.

The previous prime is 79242227. The next prime is 79242257. The reversal of 79242240 is 4224297.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 79242198 and 79242207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182687 + ... + 1182753.

Almost surely, 2^79242240 is an apocalyptic number.

79242240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160353792).

79242240 is an abundant number, since it is smaller than the sum of its proper divisors (241465344).

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

79242240 is a wasteful number, since it uses less digits than its factorization.

79242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 79242240 is about 8901.8110516905. The cubic root of 79242240 is about 429.5221661612.

The spelling of 79242240 in words is "seventy-nine million, two hundred forty-two thousand, two hundred forty".