755825040 has 80 divisors (see below), whose sum is σ = 2603404800. Its totient is φ = 201552768.

The previous prime is 755825017. The next prime is 755825099. The reversal of 755825040 is 40528557.

It is a happy number.

755825040 is a `hidden beast` number, since 75 + 5 + 82 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 755824986 and 755825004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172800 + ... + 177119.

It is an arithmetic number, because the mean of its divisors is an integer number (32542560).

Almost surely, 2^755825040 is an apocalyptic number.

It is an amenable number.

755825040 is an abundant number, since it is smaller than the sum of its proper divisors (1847579760).

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

755825040 is a wasteful number, since it uses less digits than its factorization.

755825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349941 (or 349929 counting only the distinct ones).

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

The square root of 755825040 is about 27492.2723687948. The cubic root of 755825040 is about 910.9064107960.

The spelling of 755825040 in words is "seven hundred fifty-five million, eight hundred twenty-five thousand, forty".