76535784000 has 336 divisors, whose sum is σ = 294844957680. Its totient is φ = 18839347200.

The previous prime is 76535783953. The next prime is 76535784037. The reversal of 76535784000 is 48753567.

76535784000 is a `hidden beast` number, since 7 + 6 + 535 + 78 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 54330015744 + 22205768256 = 233088^2 + 149016^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 895116 + ... + 976884.

It is an arithmetic number, because the mean of its divisors is an integer number (877514755).

Almost surely, 2^76535784000 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 76535784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147422478840).

76535784000 is an abundant number, since it is smaller than the sum of its proper divisors (218309173680).

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

76535784000 is a wasteful number, since it uses less digits than its factorization.

76535784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81815 (or 81792 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 76535784000 in words is "seventy-six billion, five hundred thirty-five million, seven hundred eighty-four thousand".