76974300 has 360 divisors, whose sum is σ = 291137616. Its totient is φ = 17418240.

The previous prime is 76974299. The next prime is 76974311. The reversal of 76974300 is 347967.

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 119 ways as a sum of consecutive naturals, for example, 1790079 + ... + 1790121.

Almost surely, 2^76974300 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 76974300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145568808).

76974300 is an abundant number, since it is smaller than the sum of its proper divisors (214163316).

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

76974300 is a wasteful number, since it uses less digits than its factorization.

76974300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 76974300 is about 8773.4998717730. The cubic root of 76974300 is about 425.3847496229.

The spelling of 76974300 in words is "seventy-six million, nine hundred seventy-four thousand, three hundred".