790479360 has 240 divisors, whose sum is σ = 2987487360. Its totient is φ = 191569920.

The previous prime is 790479343. The next prime is 790479377. The reversal of 790479360 is 63974097.

It is an interprime number because it is at equal distance from previous prime (790479343) and next prime (790479377).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251881 + ... + 254999.

It is an arithmetic number, because the mean of its divisors is an integer number (12447864).

Almost surely, 2^790479360 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 790479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493743680).

790479360 is an abundant number, since it is smaller than the sum of its proper divisors (2197008000).

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

790479360 is a wasteful number, since it uses less digits than its factorization.

790479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 790479360 is about 28115.4647836382. The cubic root of 790479360 is about 924.6204861434.

The spelling of 790479360 in words is "seven hundred ninety million, four hundred seventy-nine thousand, three hundred sixty".