755664000 has 512 divisors, whose sum is σ = 3100930560. Its totient is φ = 158515200.

The previous prime is 755663981. The next prime is 755664001. The reversal of 755664000 is 466557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755664001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367914 + ... + 4368086.

It is an arithmetic number, because the mean of its divisors is an integer number (6056505).

Almost surely, 2^755664000 is an apocalyptic number.

755664000 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 755664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550465280).

755664000 is an abundant number, since it is smaller than the sum of its proper divisors (2345266560).

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

755664000 is a wasteful number, since it uses less digits than its factorization.

755664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 755664000 is about 27489.3433897574. The cubic root of 755664000 is about 910.8417120539.

The spelling of 755664000 in words is "seven hundred fifty-five million, six hundred sixty-four thousand".