76297488400 has 135 divisors (see below), whose sum is σ = 213340146231. Its totient is φ = 26145880320.

The previous prime is 76297488353. The next prime is 76297488403. The reversal of 76297488400 is 488479267.

It is a happy number.

The square root of 76297488400 is 276220.

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 14141015056 + 62156473344 = 118916^2 + 249312^2 .

It is a super-2 number, since 2×76297488400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76297488403) 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, 38669814 + ... + 38671786.

Almost surely, 2^76297488400 is an apocalyptic number.

76297488400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76297488400 is the 276220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76297488400

76297488400 is an abundant number, since it is smaller than the sum of its proper divisors (137042657831).

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

76297488400 is an equidigital number, since it uses as much as digits as its factorization.

76297488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 76297488400 in words is "seventy-six billion, two hundred ninety-seven million, four hundred eighty-eight thousand, four hundred".