79344720 has 360 divisors, whose sum is σ = 335744136. Its totient is φ = 16644096.

The previous prime is 79344689. The next prime is 79344731. The reversal of 79344720 is 2744397.

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 69155856 = 3192^2 + 8316^2 .

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458554 + ... + 458726.

Almost surely, 2^79344720 is an apocalyptic number.

79344720 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 79344720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167872068).

79344720 is an abundant number, since it is smaller than the sum of its proper divisors (256399416).

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

79344720 is a wasteful number, since it uses less digits than its factorization.

79344720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 79344720 is about 8907.5653239255. The cubic root of 79344720 is about 429.7072461978.

The spelling of 79344720 in words is "seventy-nine million, three hundred forty-four thousand, seven hundred twenty".