76520400 has 360 divisors, whose sum is σ = 294481152. Its totient is φ = 16896000.

The previous prime is 76520399. The next prime is 76520401. The reversal of 76520400 is 402567.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76520399) and next prime (76520401).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76520401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2468385 + ... + 2468415.

Almost surely, 2^76520400 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 76520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147240576).

76520400 is an abundant number, since it is smaller than the sum of its proper divisors (217960752).

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

76520400 is a wasteful number, since it uses less digits than its factorization.

76520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 76520400 is about 8747.5939549113. The cubic root of 76520400 is about 424.5469682396.

Adding to 76520400 its reverse (402567), we get a palindrome (76922967).

The spelling of 76520400 in words is "seventy-six million, five hundred twenty thousand, four hundred".