755468000 has 96 divisors (see below), whose sum is σ = 2121432768. Its totient is φ = 259008000.

The previous prime is 755467967. The next prime is 755468029. The reversal of 755468000 is 864557.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14510 + ... + 41490.

It is an arithmetic number, because the mean of its divisors is an integer number (22098258).

Almost surely, 2^755468000 is an apocalyptic number.

755468000 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 755468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060716384).

755468000 is an abundant number, since it is smaller than the sum of its proper divisors (1365964768).

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

755468000 is a wasteful number, since it uses less digits than its factorization.

755468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27013 (or 26995 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 755468000 is about 27485.7781407040. The cubic root of 755468000 is about 910.7629555286.

The spelling of 755468000 in words is "seven hundred fifty-five million, four hundred sixty-eight thousand".