755917240 has 128 divisors (see below), whose sum is σ = 1953020160. Its totient is φ = 260849664.

The previous prime is 755917207. The next prime is 755917247. The reversal of 755917240 is 42719557.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 755917193 and 755917202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755917247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2059537 + ... + 2059903.

It is an arithmetic number, because the mean of its divisors is an integer number (15257970).

Almost surely, 2^755917240 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 755917240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976510080).

755917240 is an abundant number, since it is smaller than the sum of its proper divisors (1197102920).

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

755917240 is a wasteful number, since it uses less digits than its factorization.

755917240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 755917240 is about 27493.9491524954. The cubic root of 755917240 is about 910.9434485370.

The spelling of 755917240 in words is "seven hundred fifty-five million, nine hundred seventeen thousand, two hundred forty".