756868000 has 96 divisors (see below), whose sum is σ = 2125363968. Its totient is φ = 259488000.

The previous prime is 756867973. The next prime is 756868001. The reversal of 756868000 is 868657.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (756868001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14485 + ... + 41515.

It is an arithmetic number, because the mean of its divisors is an integer number (22139208).

Almost surely, 2^756868000 is an apocalyptic number.

756868000 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 756868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062681984).

756868000 is an abundant number, since it is smaller than the sum of its proper divisors (1368495968).

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

756868000 is a wasteful number, since it uses less digits than its factorization.

756868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27063 (or 27045 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 756868000 is about 27511.2340690126. The cubic root of 756868000 is about 911.3252036160.

The spelling of 756868000 in words is "seven hundred fifty-six million, eight hundred sixty-eight thousand".