77233766400 has 1080 divisors, whose sum is σ = 328331631264. Its totient is φ = 16986931200.

The previous prime is 77233766377. The next prime is 77233766497. The reversal of 77233766400 is 466733277.

77233766400 is a `hidden beast` number, since 7 + 7 + 233 + 7 + 6 + 6 + 400 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1057996764 + ... + 1057996836.

Almost surely, 2^77233766400 is an apocalyptic number.

77233766400 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 77233766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164165815632).

77233766400 is an abundant number, since it is smaller than the sum of its proper divisors (251097864864).

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

77233766400 is a wasteful number, since it uses less digits than its factorization.

77233766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 77233766400 in words is "seventy-seven billion, two hundred thirty-three million, seven hundred sixty-six thousand, four hundred".