79279200 has 648 divisors, whose sum is σ = 378194544. Its totient is φ = 15206400.

The previous prime is 79279171. The next prime is 79279201. The reversal of 79279200 is 297297.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79279201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6098394 + ... + 6098406.

Almost surely, 2^79279200 is an apocalyptic number.

79279200 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 79279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189097272).

79279200 is an abundant number, since it is smaller than the sum of its proper divisors (298915344).

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

79279200 is a wasteful number, since it uses less digits than its factorization.

79279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 79279200 is about 8903.8867917331. The cubic root of 79279200 is about 429.5889347253.

It can be divided in two parts, 792 and 79200, that multiplied together give a square (62726400 = 7920²).

The spelling of 79279200 in words is "seventy-nine million, two hundred seventy-nine thousand, two hundred".