76387600 has 135 divisors (see below), whose sum is σ = 202475973. Its totient is φ = 27688320.

The previous prime is 76387547. The next prime is 76387603. The reversal of 76387600 is 678367.

The square root of 76387600 is 8740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27499536 + 48888064 = 5244^2 + 6992^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76387600.

It is not an unprimeable number, because it can be changed into a prime (76387603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3321189 + ... + 3321211.

Almost surely, 2^76387600 is an apocalyptic number.

76387600 is the 8740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76387600

76387600 is an abundant number, since it is smaller than the sum of its proper divisors (126088373).

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

76387600 is a wasteful number, since it uses less digits than its factorization.

76387600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The cubic root of 76387600 is about 424.3012277385.

The spelling of 76387600 in words is "seventy-six million, three hundred eighty-seven thousand, six hundred".