79749144 has 64 divisors (see below), whose sum is σ = 222789600. Its totient is φ = 26431488.

The previous prime is 79749127. The next prime is 79749151. The reversal of 79749144 is 44194797.

It is a super-3 number, since 3×79749144³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 79749144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40732 + ... + 42644.

Almost surely, 2^79749144 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 79749144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111394800).

79749144 is an abundant number, since it is smaller than the sum of its proper divisors (143040456).

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

79749144 is a wasteful number, since it uses less digits than its factorization.

79749144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2111 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 79749144 is about 8930.2376228183. The cubic root of 79749144 is about 430.4360890446.

The spelling of 79749144 in words is "seventy-nine million, seven hundred forty-nine thousand, one hundred forty-four".