757790460 has 144 divisors (see below), whose sum is σ = 2647636992. Its totient is φ = 171849600.

The previous prime is 757790459. The next prime is 757790479. The reversal of 757790460 is 64097757.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162765 + ... + 167355.

It is an arithmetic number, because the mean of its divisors is an integer number (18386368).

Almost surely, 2^757790460 is an apocalyptic number.

757790460 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 757790460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323818496).

757790460 is an abundant number, since it is smaller than the sum of its proper divisors (1889846532).

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

757790460 is a wasteful number, since it uses less digits than its factorization.

757790460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 757790460 is about 27527.9941150822. The cubic root of 757790460 is about 911.6952900555.

The spelling of 757790460 in words is "seven hundred fifty-seven million, seven hundred ninety thousand, four hundred sixty".