76573252800 has 1260 divisors, whose sum is σ = 326928007560. Its totient is φ = 17517772800.

The previous prime is 76573252793. The next prime is 76573252807. The reversal of 76573252800 is 825237567.

76573252800 is a `hidden beast` number, since 76 + 57 + 3 + 2 + 528 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76573252793) and next prime (76573252807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (76573252807) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 297950272 + ... + 297950528.

Almost surely, 2^76573252800 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 76573252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163464003780).

76573252800 is an abundant number, since it is smaller than the sum of its proper divisors (250354754760).

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

76573252800 is a wasteful number, since it uses less digits than its factorization.

76573252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

Adding to 76573252800 its product of nonzero digits (705600), we get a square (76573958400 = 276720²).

The spelling of 76573252800 in words is "seventy-six billion, five hundred seventy-three million, two hundred fifty-two thousand, eight hundred".