791958240 has 288 divisors, whose sum is σ = 2832350976. Its totient is φ = 201277440.

The previous prime is 791958227. The next prime is 791958269. The reversal of 791958240 is 42859197.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5044242 + ... + 5044398.

It is an arithmetic number, because the mean of its divisors is an integer number (9834552).

Almost surely, 2^791958240 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 791958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416175488).

791958240 is an abundant number, since it is smaller than the sum of its proper divisors (2040392736).

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

791958240 is a wasteful number, since it uses less digits than its factorization.

791958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 791958240 is about 28141.7526106673. The cubic root of 791958240 is about 925.1967402313.

The spelling of 791958240 in words is "seven hundred ninety-one million, nine hundred fifty-eight thousand, two hundred forty".