76112748835200 has 4608 divisors, whose sum is σ = 365428039680000. Its totient is φ = 15289731072000.

The previous prime is 76112748835183. The next prime is 76112748835213. The reversal of 76112748835200 is 253884721167.

76112748835200 is a `hidden beast` number, since 7 + 6 + 1 + 127 + 488 + 35 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 382476124701 + ... + 382476124899.

It is an arithmetic number, because the mean of its divisors is an integer number (79302960000).

Almost surely, 2^{76112748835200} is an apocalyptic number.

76112748835200 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 76112748835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182714019840000).

76112748835200 is an abundant number, since it is smaller than the sum of its proper divisors (289315290844800).

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

76112748835200 is a wasteful number, since it uses less digits than its factorization.

76112748835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 76112748835200 in words is "seventy-six trillion, one hundred twelve billion, seven hundred forty-eight million, eight hundred thirty-five thousand, two hundred".