76853360640 has 384 divisors, whose sum is σ = 297538375680. Its totient is φ = 16532373504.

The previous prime is 76853360621. The next prime is 76853360669. The reversal of 76853360640 is 4606335867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76853360640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3645169 + ... + 3666191.

It is an arithmetic number, because the mean of its divisors is an integer number (774839520).

Almost surely, 2^76853360640 is an apocalyptic number.

76853360640 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 76853360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148769187840).

76853360640 is an abundant number, since it is smaller than the sum of its proper divisors (220685015040).

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

76853360640 is a wasteful number, since it uses less digits than its factorization.

76853360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21077 (or 21057 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 76853360640 in words is "seventy-six billion, eight hundred fifty-three million, three hundred sixty thousand, six hundred forty".