76794732000 has 1152 divisors, whose sum is σ = 336397501440. Its totient is φ = 16198963200.

The previous prime is 76794731969. The next prime is 76794732031. The reversal of 76794732000 is 23749767.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76794731969) and next prime (76794732031).

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 191 ways as a sum of consecutive naturals, for example, 205883814 + ... + 205884186.

It is an arithmetic number, because the mean of its divisors is an integer number (292011720).

Almost surely, 2^76794732000 is an apocalyptic number.

76794732000 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 76794732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168198750720).

76794732000 is an abundant number, since it is smaller than the sum of its proper divisors (259602769440).

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

76794732000 is a wasteful number, since it uses less digits than its factorization.

76794732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 76794732000 in words is "seventy-six billion, seven hundred ninety-four million, seven hundred thirty-two thousand".