755104896 has 384 divisors, whose sum is σ = 2800022400. Its totient is φ = 199148544.

The previous prime is 755104891. The next prime is 755104907. The reversal of 755104896 is 698401557.

755104896 is a `hidden beast` number, since 7 + 5 + 510 + 48 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755104891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58084986 + ... + 58084998.

It is an arithmetic number, because the mean of its divisors is an integer number (7291725).

Almost surely, 2^755104896 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 755104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400011200).

755104896 is an abundant number, since it is smaller than the sum of its proper divisors (2044917504).

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

755104896 is an frugal number, since it uses more digits than its factorization.

755104896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 755104896 is about 27479.1720399287. The cubic root of 755104896 is about 910.6170174397.

The spelling of 755104896 in words is "seven hundred fifty-five million, one hundred four thousand, eight hundred ninety-six".