80829076608 has 768 divisors, whose sum is σ = 291351168000. Its totient is φ = 21970206720.

The previous prime is 80829076607. The next prime is 80829076633. The reversal of 80829076608 is 80667092808.

80829076608 is a `hidden beast` number, since 8 + 0 + 8 + 29 + 0 + 7 + 6 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (80829076607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467220010 + ... + 467220182.

It is an arithmetic number, because the mean of its divisors is an integer number (379363500).

Almost surely, 2^80829076608 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 80829076608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145675584000).

80829076608 is an abundant number, since it is smaller than the sum of its proper divisors (210522091392).

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

80829076608 is a wasteful number, since it uses less digits than its factorization.

80829076608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 80829076608 in words is "eighty billion, eight hundred twenty-nine million, seventy-six thousand, six hundred eight".