76156646400 has 396 divisors, whose sum is σ = 279054441952. Its totient is φ = 19833569280.

The previous prime is 76156646389. The next prime is 76156646407. The reversal of 76156646400 is 464665167.

76156646400 is a `hidden beast` number, since 7 + 6 + 1 + 566 + 46 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76156646407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9903357 + ... + 9911043.

Almost surely, 2^76156646400 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 76156646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139527220976).

76156646400 is an abundant number, since it is smaller than the sum of its proper divisors (202897795552).

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

76156646400 is a wasteful number, since it uses less digits than its factorization.

76156646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 76156646400 in words is "seventy-six billion, one hundred fifty-six million, six hundred forty-six thousand, four hundred".