76856375232 has 224 divisors, whose sum is σ = 278084889600. Its totient is φ = 20269771776.

The previous prime is 76856375231. The next prime is 76856375237. The reversal of 76856375232 is 23257365867.

It is a happy number.

76856375232 is a `hidden beast` number, since 7 + 6 + 8 + 563 + 75 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76856375231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87132 + ... + 401627.

It is an arithmetic number, because the mean of its divisors is an integer number (1241450400).

Almost surely, 2^76856375232 is an apocalyptic number.

76856375232 is a gapful number since it is divisible by the number (72) 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 76856375232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139042444800).

76856375232 is an abundant number, since it is smaller than the sum of its proper divisors (201228514368).

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

76856375232 is a wasteful number, since it uses less digits than its factorization.

76856375232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488800 (or 488784 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 76856375232 in words is "seventy-six billion, eight hundred fifty-six million, three hundred seventy-five thousand, two hundred thirty-two".