76212900 has 135 divisors (see below), whose sum is σ = 249625299. Its totient is φ = 20113920.

The previous prime is 76212889. The next prime is 76212907. The reversal of 76212900 is 921267.

The square root of 76212900 is 8730.

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

76212900 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 73410624 = 1674^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×76212900² = 11616812252820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (76212907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 785652 + ... + 785748.

Almost surely, 2^76212900 is an apocalyptic number.

76212900 is the 8730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76212900

76212900 is an abundant number, since it is smaller than the sum of its proper divisors (173412399).

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

76212900 is a wasteful number, since it uses less digits than its factorization.

76212900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 76212900 is about 423.9775189813.

The spelling of 76212900 in words is "seventy-six million, two hundred twelve thousand, nine hundred".