791028480 has 288 divisors, whose sum is σ = 2810320128. Its totient is φ = 188006400.

The previous prime is 791028467. The next prime is 791028493. The reversal of 791028480 is 84820197.

It is an interprime number because it is at equal distance from previous prime (791028467) and next prime (791028493).

It is a super-2 number, since 2×791028480² = 1251452112342220800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2576487 + ... + 2576793.

It is an arithmetic number, because the mean of its divisors is an integer number (9758056).

Almost surely, 2^791028480 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 791028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405160064).

791028480 is an abundant number, since it is smaller than the sum of its proper divisors (2019291648).

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

791028480 is a wasteful number, since it uses less digits than its factorization.

791028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 791028480 is about 28125.2285324049. The cubic root of 791028480 is about 924.8345377283.

The spelling of 791028480 in words is "seven hundred ninety-one million, twenty-eight thousand, four hundred eighty".