790471440 has 640 divisors, whose sum is σ = 3342643200. Its totient is φ = 169205760.

The previous prime is 790471433. The next prime is 790471447. The reversal of 790471440 is 44174097.

It is an interprime number because it is at equal distance from previous prime (790471433) and next prime (790471447).

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

It is a junction number, because it is equal to n+sod(n) for n = 790471395 and 790471404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790471447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7674429 + ... + 7674531.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2^790471440 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 790471440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671321600).

790471440 is an abundant number, since it is smaller than the sum of its proper divisors (2552171760).

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

790471440 is a wasteful number, since it uses less digits than its factorization.

790471440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 790471440 is about 28115.3239355338. The cubic root of 790471440 is about 924.6173981358.

The spelling of 790471440 in words is "seven hundred ninety million, four hundred seventy-one thousand, four hundred forty".