755835264 has 96 divisors (see below), whose sum is σ = 2182065600. Its totient is φ = 251126784.

The previous prime is 755835263. The next prime is 755835271. The reversal of 755835264 is 462538557.

755835264 is a `hidden beast` number, since 7 + 5 + 583 + 5 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755835263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428817 + ... + 430575.

It is an arithmetic number, because the mean of its divisors is an integer number (22729850).

Almost surely, 2^755835264 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 755835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091032800).

755835264 is an abundant number, since it is smaller than the sum of its proper divisors (1426230336).

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

755835264 is a wasteful number, since it uses less digits than its factorization.

755835264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2137 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 755835264 is about 27492.4583113260. The cubic root of 755835264 is about 910.9105180363.

The spelling of 755835264 in words is "seven hundred fifty-five million, eight hundred thirty-five thousand, two hundred sixty-four".