76812736000 has 960 divisors, whose sum is σ = 261494513280. Its totient is φ = 21897216000.

The previous prime is 76812735997. The next prime is 76812736037. The reversal of 76812736000 is 63721867.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704703946 + ... + 704704054.

It is an arithmetic number, because the mean of its divisors is an integer number (272390118).

Almost surely, 2^76812736000 is an apocalyptic number.

76812736000 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 76812736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130747256640).

76812736000 is an abundant number, since it is smaller than the sum of its proper divisors (184681777280).

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

76812736000 is a wasteful number, since it uses less digits than its factorization.

76812736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 76812736000 in words is "seventy-six billion, eight hundred twelve million, seven hundred thirty-six thousand".