76562500 has 81 divisors (see below), whose sum is σ = 194824119. Its totient is φ = 26250000.

The previous prime is 76562461. The next prime is 76562501. The reversal of 76562500 is 526567.

The square root of 76562500 is 8750.

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

It can be written as a sum of positive squares in 4 ways, for example, as 54434884 + 22127616 = 7378^2 + 4704^2 .

It is not an unprimeable number, because it can be changed into a prime (76562501) 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, 10937497 + ... + 10937503.

Almost surely, 2^76562500 is an apocalyptic number.

76562500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76562500 is the 8750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76562500

76562500 is an abundant number, since it is smaller than the sum of its proper divisors (118261619).

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

76562500 is an frugal number, since it uses more digits than its factorization.

76562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The cubic root of 76562500 is about 424.6248130605.

The spelling of 76562500 in words is "seventy-six million, five hundred sixty-two thousand, five hundred".