76348200456 has 160 divisors (see below), whose sum is σ = 240812225280. Its totient is φ = 22389436800.

The previous prime is 76348200427. The next prime is 76348200473. The reversal of 76348200456 is 65400284367.

76348200456 is a `hidden beast` number, since 7 + 634 + 8 + 2 + 0 + 0 + 4 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48210 + ... + 393726.

It is an arithmetic number, because the mean of its divisors is an integer number (1505076408).

Almost surely, 2^76348200456 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 76348200456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120406112640).

76348200456 is an abundant number, since it is smaller than the sum of its proper divisors (164464024824).

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

76348200456 is a wasteful number, since it uses less digits than its factorization.

76348200456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345577 (or 345564 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 76348200456 in words is "seventy-six billion, three hundred forty-eight million, two hundred thousand, four hundred fifty-six".