76745844000 has 576 divisors, whose sum is σ = 319732987392. Its totient is φ = 17065728000.

The previous prime is 76745843939. The next prime is 76745844013. The reversal of 76745844000 is 44854767.

76745844000 is a `hidden beast` number, since 7 + 67 + 4 + 584 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9319885 + ... + 9328115.

It is an arithmetic number, because the mean of its divisors is an integer number (555091992).

Almost surely, 2^76745844000 is an apocalyptic number.

76745844000 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 76745844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159866493696).

76745844000 is an abundant number, since it is smaller than the sum of its proper divisors (242987143392).

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

76745844000 is a wasteful number, since it uses less digits than its factorization.

76745844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 76745844000 in words is "seventy-six billion, seven hundred forty-five million, eight hundred forty-four thousand".