76728600 has 192 divisors, whose sum is σ = 284877600. Its totient is φ = 18869760.

The previous prime is 76728583. The next prime is 76728607. The reversal of 76728600 is 682767.

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 (76728607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69654 + ... + 70746.

Almost surely, 2^76728600 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 76728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142438800).

76728600 is an abundant number, since it is smaller than the sum of its proper divisors (208149000).

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

76728600 is a wasteful number, since it uses less digits than its factorization.

76728600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 76728600 is about 8759.4862863070. The cubic root of 76728600 is about 424.9316614457.

The spelling of 76728600 in words is "seventy-six million, seven hundred twenty-eight thousand, six hundred".