790201440 has 288 divisors, whose sum is σ = 3218110560. Its totient is φ = 180569088.

The previous prime is 790201427. The next prime is 790201441. The reversal of 790201440 is 44102097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790201441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209814 + ... + 213546.

It is an arithmetic number, because the mean of its divisors is an integer number (11173995).

Almost surely, 2^790201440 is an apocalyptic number.

790201440 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 790201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609055280).

790201440 is an abundant number, since it is smaller than the sum of its proper divisors (2427909120).

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

790201440 is a wasteful number, since it uses less digits than its factorization.

790201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 790201440 is about 28110.5218734907. The cubic root of 790201440 is about 924.5121128111.

The spelling of 790201440 in words is "seven hundred ninety million, two hundred one thousand, four hundred forty".