76822376400 has 1800 divisors, whose sum is σ = 360776221344. Its totient is φ = 15473203200.

The previous prime is 76822376387. The next prime is 76822376417. The reversal of 76822376400 is 467322867.

76822376400 is a `hidden beast` number, since 7 + 6 + 8 + 2 + 237 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 925570759 + ... + 925570841.

Almost surely, 2^76822376400 is an apocalyptic number.

76822376400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76822376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180388110672).

76822376400 is an abundant number, since it is smaller than the sum of its proper divisors (283953844944).

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

76822376400 is a wasteful number, since it uses less digits than its factorization.

76822376400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 76822376400 in words is "seventy-six billion, eight hundred twenty-two million, three hundred seventy-six thousand, four hundred".