755368320 has 512 divisors, whose sum is σ = 2976768000. Its totient is φ = 162570240.

The previous prime is 755368261. The next prime is 755368333. The reversal of 755368320 is 23863557.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20415342 + ... + 20415378.

It is an arithmetic number, because the mean of its divisors is an integer number (5814000).

Almost surely, 2^755368320 is an apocalyptic number.

755368320 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 755368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488384000).

755368320 is an abundant number, since it is smaller than the sum of its proper divisors (2221399680).

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

755368320 is a wasteful number, since it uses less digits than its factorization.

755368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 755368320 is about 27483.9647794855. The cubic root of 755368320 is about 910.7228969845.

The spelling of 755368320 in words is "seven hundred fifty-five million, three hundred sixty-eight thousand, three hundred twenty".