791182080 has 360 divisors, whose sum is σ = 3053956752. Its totient is φ = 194420736.

The previous prime is 791182079. The next prime is 791182099. The reversal of 791182080 is 80281197.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 1347547 + ... + 1348133.

Almost surely, 2^791182080 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 791182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526978376).

791182080 is an abundant number, since it is smaller than the sum of its proper divisors (2262774672).

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

791182080 is a wasteful number, since it uses less digits than its factorization.

791182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 791182080 is about 28127.9590443388. The cubic root of 791182080 is about 924.8943945665.

The spelling of 791182080 in words is "seven hundred ninety-one million, one hundred eighty-two thousand, eighty".