810378432 has 140 divisors (see below), whose sum is σ = 2416430016. Its totient is φ = 268531200.

The previous prime is 810378431. The next prime is 810378433. The reversal of 810378432 is 234873018.

It is an interprime number because it is at equal distance from previous prime (810378431) and next prime (810378433).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810378431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1155682 + ... + 1156382.

Almost surely, 2^810378432 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 810378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208215008).

810378432 is an abundant number, since it is smaller than the sum of its proper divisors (1606051584).

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

810378432 is a wasteful number, since it uses less digits than its factorization.

810378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 810378432 is about 28467.1465377196. The cubic root of 810378432 is about 932.3148990869.

The spelling of 810378432 in words is "eight hundred ten million, three hundred seventy-eight thousand, four hundred thirty-two".