755973000 has 448 divisors, whose sum is σ = 2854303920. Its totient is φ = 186624000.

The previous prime is 755972963. The next prime is 755973059. The reversal of 755973000 is 379557.

755973000 = 10³ + 11³ + ... + 234³.

755973000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 492804 + 755480196 = 702^2 + 27486^2 .

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 111 ways as a sum of consecutive naturals, for example, 12392970 + ... + 12393030.

Almost surely, 2^755973000 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 755973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427151960).

755973000 is an abundant number, since it is smaller than the sum of its proper divisors (2098330920).

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

755973000 is a wasteful number, since it uses less digits than its factorization.

755973000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 755973000 is about 27494.9631750981. The cubic root of 755973000 is about 910.9658464730.

The spelling of 755973000 in words is "seven hundred fifty-five million, nine hundred seventy-three thousand".