840372900 has 144 divisors (see below), whose sum is σ = 2637956160. Its totient is φ = 205721600.

The previous prime is 840372889. The next prime is 840372901. The reversal of 840372900 is 9273048.

It is a super-2 number, since 2×840372900² = 1412453222108820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (840372901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207091 + ... + 211109.

It is an arithmetic number, because the mean of its divisors is an integer number (18319140).

Almost surely, 2^840372900 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 840372900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318978080).

840372900 is an abundant number, since it is smaller than the sum of its proper divisors (1797583260).

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

840372900 is a wasteful number, since it uses less digits than its factorization.

840372900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 840372900 is about 28989.1859147510. The cubic root of 840372900 is about 943.6783966844.

The spelling of 840372900 in words is "eight hundred forty million, three hundred seventy-two thousand, nine hundred".