76103874000 has 800 divisors, whose sum is σ = 342779703552. Its totient is φ = 15811200000.

The previous prime is 76103873977. The next prime is 76103874019. The reversal of 76103874000 is 47830167.

76103874000 is a `hidden beast` number, since 7 + 610 + 38 + 7 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 12470950 + ... + 12477050.

Almost surely, 2^76103874000 is an apocalyptic number.

76103874000 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 76103874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171389851776).

76103874000 is an abundant number, since it is smaller than the sum of its proper divisors (266675829552).

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

76103874000 is a wasteful number, since it uses less digits than its factorization.

76103874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 76103874000 in words is "seventy-six billion, one hundred three million, eight hundred seventy-four thousand".