79146720 has 240 divisors, whose sum is σ = 289795968. Its totient is φ = 20321280.

The previous prime is 79146667. The next prime is 79146757. The reversal of 79146720 is 2764197.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 401662 + ... + 401858.

Almost surely, 2^79146720 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 79146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144897984).

79146720 is an abundant number, since it is smaller than the sum of its proper divisors (210649248).

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

79146720 is a wasteful number, since it uses less digits than its factorization.

79146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 79146720 is about 8896.4442335126. Note that the first 3 decimals coincide. The cubic root of 79146720 is about 429.3495122263.

The spelling of 79146720 in words is "seventy-nine million, one hundred forty-six thousand, seven hundred twenty".