755825004 has 72 divisors (see below), whose sum is σ = 2097692688. Its totient is φ = 227560320.

The previous prime is 755825003. The next prime is 755825017. The reversal of 755825004 is 400528557.

It is a happy number.

755825004 is a `hidden beast` number, since 75 + 5 + 82 + 500 + 4 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 755825004.

It is not an unprimeable number, because it can be changed into a prime (755825003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56094 + ... + 68250.

Almost surely, 2^755825004 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 755825004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048846344).

755825004 is an abundant number, since it is smaller than the sum of its proper divisors (1341867684).

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

755825004 is a wasteful number, since it uses less digits than its factorization.

755825004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12335 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 755825004 is about 27492.2717140654. The cubic root of 755825004 is about 910.9063963338.

The spelling of 755825004 in words is "seven hundred fifty-five million, eight hundred twenty-five thousand, four".