76833482342400 has 4560 divisors, whose sum is σ = 362483810979840. Its totient is φ = 15695924428800.

The previous prime is 76833482342359. The next prime is 76833482342417. The reversal of 76833482342400 is 424328433867.

76833482342400 is a `hidden beast` number, since 7 + 6 + 83 + 3 + 482 + 3 + 42 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2478499430385 + ... + 2478499430415.

Almost surely, 2^{76833482342400} is an apocalyptic number.

76833482342400 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 76833482342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181241905489920).

76833482342400 is an abundant number, since it is smaller than the sum of its proper divisors (285650328637440).

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

76833482342400 is an equidigital number, since it uses as much as digits as its factorization.

76833482342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 76833482342400 in words is "seventy-six trillion, eight hundred thirty-three billion, four hundred eighty-two million, three hundred forty-two thousand, four hundred".