76585428000 has 864 divisors, whose sum is σ = 294405052032. Its totient is φ = 18845568000.

The previous prime is 76585427953. The next prime is 76585428013. The reversal of 76585428000 is 82458567.

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 143 ways as a sum of consecutive naturals, for example, 922715959 + ... + 922716041.

It is an arithmetic number, because the mean of its divisors is an integer number (340746588).

Almost surely, 2^76585428000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76585428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147202526016).

76585428000 is an abundant number, since it is smaller than the sum of its proper divisors (217819624032).

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

76585428000 is a wasteful number, since it uses less digits than its factorization.

76585428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 76585428000 in words is "seventy-six billion, five hundred eighty-five million, four hundred twenty-eight thousand".