755203680 has 576 divisors, whose sum is σ = 3302208000. Its totient is φ = 155796480.

The previous prime is 755203651. The next prime is 755203727. The reversal of 755203680 is 86302557.

755203680 is a `hidden beast` number, since 75 + 520 + 3 + 68 + 0 = 666.

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, 5433051 + ... + 5433189.

It is an arithmetic number, because the mean of its divisors is an integer number (5733000).

Almost surely, 2^755203680 is an apocalyptic number.

755203680 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 755203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104000).

755203680 is an abundant number, since it is smaller than the sum of its proper divisors (2547004320).

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

755203680 is a wasteful number, since it uses less digits than its factorization.

755203680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

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

The square root of 755203680 is about 27480.9694152153. The cubic root of 755203680 is about 910.6567251543.

The spelling of 755203680 in words is "seven hundred fifty-five million, two hundred three thousand, six hundred eighty".