790254080 has 320 divisors, whose sum is σ = 2498411520. Its totient is φ = 232243200.

The previous prime is 790254067. The next prime is 790254097. The reversal of 790254080 is 80452097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 790254080.

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, 3745175 + ... + 3745385.

It is an arithmetic number, because the mean of its divisors is an integer number (7807536).

Almost surely, 2^790254080 is an apocalyptic number.

790254080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249205760).

790254080 is an abundant number, since it is smaller than the sum of its proper divisors (1708157440).

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

790254080 is a wasteful number, since it uses less digits than its factorization.

790254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 790254080 is about 28111.4581621089. The cubic root of 790254080 is about 924.5326414319.

The spelling of 790254080 in words is "seven hundred ninety million, two hundred fifty-four thousand, eighty".