76842307584 has 624 divisors, whose sum is σ = 270483857280. Its totient is φ = 21339832320.

The previous prime is 76842307583. The next prime is 76842307589. The reversal of 76842307584 is 48570324867.

76842307584 is a `hidden beast` number, since 76 + 8 + 423 + 0 + 75 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 76842307584.

It is not an unprimeable number, because it can be changed into a prime (76842307583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285659002 + ... + 285659270.

It is an arithmetic number, because the mean of its divisors is an integer number (433467720).

Almost surely, 2^76842307584 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 76842307584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135241928640).

76842307584 is an abundant number, since it is smaller than the sum of its proper divisors (193641549696).

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

76842307584 is an equidigital number, since it uses as much as digits as its factorization.

76842307584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 76842307584 in words is "seventy-six billion, eight hundred forty-two million, three hundred seven thousand, five hundred eighty-four".