790609248 has 384 divisors, whose sum is σ = 2777241600. Its totient is φ = 218350080.

The previous prime is 790609241. The next prime is 790609283. The reversal of 790609248 is 842906097.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790609241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10007673 + ... + 10007751.

It is an arithmetic number, because the mean of its divisors is an integer number (7232400).

Almost surely, 2^790609248 is an apocalyptic number.

790609248 is a gapful number since it is divisible by the number (78) 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 790609248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388620800).

790609248 is an abundant number, since it is smaller than the sum of its proper divisors (1986632352).

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

790609248 is a wasteful number, since it uses less digits than its factorization.

790609248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 790609248 is about 28117.7745918840. The cubic root of 790609248 is about 924.6711265246.

The spelling of 790609248 in words is "seven hundred ninety million, six hundred nine thousand, two hundred forty-eight".