76979200 has 132 divisors (see below), whose sum is σ = 199001152. Its totient is φ = 29491200.

The previous prime is 76979197. The next prime is 76979209. The reversal of 76979200 is 297967.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76979209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793552 + ... + 793648.

Almost surely, 2^76979200 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 76979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99500576).

76979200 is an abundant number, since it is smaller than the sum of its proper divisors (122021952).

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

76979200 is a wasteful number, since it uses less digits than its factorization.

76979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 76979200 is about 8773.7791173473. The cubic root of 76979200 is about 425.3937757569.

The spelling of 76979200 in words is "seventy-six million, nine hundred seventy-nine thousand, two hundred".