755903904 has 192 divisors, whose sum is σ = 2422748160. Its totient is φ = 201553920.

The previous prime is 755903899. The next prime is 755903909. The reversal of 755903904 is 409309557.

It is an interprime number because it is at equal distance from previous prime (755903899) and next prime (755903909).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (755903909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931659 + ... + 932469.

It is an arithmetic number, because the mean of its divisors is an integer number (12618480).

Almost surely, 2^755903904 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 755903904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211374080).

755903904 is an abundant number, since it is smaller than the sum of its proper divisors (1666844256).

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

755903904 is a wasteful number, since it uses less digits than its factorization.

755903904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 755903904 is about 27493.7066253352. The cubic root of 755903904 is about 910.9380915073.

The spelling of 755903904 in words is "seven hundred fifty-five million, nine hundred three thousand, nine hundred four".