79749120 has 224 divisors, whose sum is σ = 283098240. Its totient is φ = 19005440.

The previous prime is 79749113. The next prime is 79749127. The reversal of 79749120 is 2194797.

It is an interprime number because it is at equal distance from previous prime (79749113) and next prime (79749127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79749127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351651 + ... + 1351709.

Almost surely, 2^79749120 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 79749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141549120).

79749120 is an abundant number, since it is smaller than the sum of its proper divisors (203349120).

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

79749120 is a wasteful number, since it uses less digits than its factorization.

79749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 79749120 is about 8930.2362790690. The cubic root of 79749120 is about 430.4360458656.

The spelling of 79749120 in words is "seventy-nine million, seven hundred forty-nine thousand, one hundred twenty".