757890940 has 72 divisors (see below), whose sum is σ = 1764518112. Its totient is φ = 272870400.

The previous prime is 757890929. The next prime is 757890949. The reversal of 757890940 is 49098757.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (757890949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130090 + ... + 135790.

It is an arithmetic number, because the mean of its divisors is an integer number (24507196).

Almost surely, 2^757890940 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 757890940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882259056).

757890940 is an abundant number, since it is smaller than the sum of its proper divisors (1006627172).

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

757890940 is a wasteful number, since it uses less digits than its factorization.

757890940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

The square root of 757890940 is about 27529.8191058350. The cubic root of 757890940 is about 911.7355839973.

The spelling of 757890940 in words is "seven hundred fifty-seven million, eight hundred ninety thousand, nine hundred forty".