8076830763456 has 896 divisors, whose sum is σ = 31450807019520. Its totient is φ = 1971943833600.

The previous prime is 8076830763433. The next prime is 8076830763479. The reversal of 8076830763456 is 6543670386708.

8076830763456 is a `hidden beast` number, since 80 + 7 + 6 + 8 + 30 + 76 + 3 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (8076830763433) and next prime (8076830763479).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 8076830763393 and 8076830763402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163041411 + ... + 163090941.

It is an arithmetic number, because the mean of its divisors is an integer number (35101347120).

Almost surely, 2^{8076830763456} 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 8076830763456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15725403509760).

8076830763456 is an abundant number, since it is smaller than the sum of its proper divisors (23373976256064).

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

8076830763456 is a wasteful number, since it uses less digits than its factorization.

8076830763456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49650 (or 49634 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 8076830763456 in words is "eight trillion, seventy-six billion, eight hundred thirty million, seven hundred sixty-three thousand, four hundred fifty-six".