755107920 has 480 divisors, whose sum is σ = 3119800320. Its totient is φ = 166095360.

The previous prime is 755107897. The next prime is 755107943. The reversal of 755107920 is 29701557.

755107920 is a `hidden beast` number, since 75 + 510 + 79 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (755107897) and next prime (755107943).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4218391 + ... + 4218569.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^755107920 is an apocalyptic number.

755107920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

755107920 is an abundant number, since it is smaller than the sum of its proper divisors (2364692400).

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

755107920 is a wasteful number, since it uses less digits than its factorization.

755107920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 755107920 is about 27479.2270633655. The cubic root of 755107920 is about 910.6182330333.

The spelling of 755107920 in words is "seven hundred fifty-five million, one hundred seven thousand, nine hundred twenty".