79071600 has 120 divisors (see below), whose sum is σ = 255733632. Its totient is φ = 20883200.

The previous prime is 79071581. The next prime is 79071613. The reversal of 79071600 is 617097.

79071600 is a nontrivial binomial coefficient, being equal to C(12576, 2).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156949 + ... + 157451.

Almost surely, 2^79071600 is an apocalyptic number.

79071600 is the 12575-th triangular number and also the 6288-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

79071600 is an abundant number, since it is smaller than the sum of its proper divisors (176662032).

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

79071600 is a wasteful number, since it uses less digits than its factorization.

79071600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 79071600 is about 8892.2213197828. The cubic root of 79071600 is about 429.2136340131.

Adding to 79071600 its reverse (617097), we get a palindrome (79688697).

It can be divided in two parts, 790 and 71600, that added together give a triangular number (72390 = T₃₈₀).

The spelling of 79071600 in words is "seventy-nine million, seventy-one thousand, six hundred".