714382000 has 80 divisors (see below), whose sum is σ = 1733183712. Its totient is φ = 284793600.

The previous prime is 714381959. The next prime is 714382003. The reversal of 714382000 is 283417.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (714382003) by changing a digit.

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, 1093674 + ... + 1094326.

Almost surely, 2^714382000 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 714382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866591856).

714382000 is an abundant number, since it is smaller than the sum of its proper divisors (1018801712).

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

714382000 is a wasteful number, since it uses less digits than its factorization.

714382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 714382000 is about 26727.9254713118. The cubic root of 714382000 is about 893.9436993574.

The spelling of 714382000 in words is "seven hundred fourteen million, three hundred eighty-two thousand".