755313840 has 120 divisors (see below), whose sum is σ = 2670149040. Its totient is φ = 190812672.

The previous prime is 755313763. The next prime is 755313857. The reversal of 755313840 is 48313557.

It is a tau number, because it is divible by the number of its divisors (120).

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 junction number, because it is equal to n+sod(n) for n = 755313795 and 755313804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13927 + ... + 41286.

It is an arithmetic number, because the mean of its divisors is an integer number (22251242).

Almost surely, 2^755313840 is an apocalyptic number.

It is an amenable number.

755313840 is an abundant number, since it is smaller than the sum of its proper divisors (1914835200).

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

755313840 is a wasteful number, since it uses less digits than its factorization.

755313840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55251 (or 55242 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 755313840 is about 27482.9736382365. The cubic root of 755313840 is about 910.7010015396.

The spelling of 755313840 in words is "seven hundred fifty-five million, three hundred thirteen thousand, eight hundred forty".