79349760 has 384 divisors, whose sum is σ = 330220800. Its totient is φ = 17694720.

The previous prime is 79349731. The next prime is 79349773. The reversal of 79349760 is 6794397.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1935340 + ... + 1935380.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^79349760 is an apocalyptic number.

79349760 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 79349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

79349760 is an abundant number, since it is smaller than the sum of its proper divisors (250871040).

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

79349760 is a wasteful number, since it uses less digits than its factorization.

79349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 79349760 is about 8907.8482250205. The cubic root of 79349760 is about 429.7163443821.

The spelling of 79349760 in words is "seventy-nine million, three hundred forty-nine thousand, seven hundred sixty".