79107840 has 360 divisors, whose sum is σ = 326467680. Its totient is φ = 17915904.

The previous prime is 79107803. The next prime is 79107859. The reversal of 79107840 is 4870197.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 79107795 and 79107804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725706 + ... + 725814.

Almost surely, 2^79107840 is an apocalyptic number.

79107840 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 79107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163233840).

79107840 is an abundant number, since it is smaller than the sum of its proper divisors (247359840).

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

79107840 is a wasteful number, since it uses less digits than its factorization.

79107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 79107840 is about 8894.2588224090. The cubic root of 79107840 is about 429.2791962224.

The spelling of 79107840 in words is "seventy-nine million, one hundred seven thousand, eight hundred forty".