801682400 has 72 divisors (see below), whose sum is σ = 1964577384. Its totient is φ = 319449600.

The previous prime is 801682393. The next prime is 801682417. The reversal of 801682400 is 4286108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224630 + ... + 228170.

It is an arithmetic number, because the mean of its divisors is an integer number (27285797).

Almost surely, 2^801682400 is an apocalyptic number.

801682400 is a gapful number since it is divisible by the number (80) 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 801682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982288692).

801682400 is an abundant number, since it is smaller than the sum of its proper divisors (1162894984).

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

801682400 is a wasteful number, since it uses less digits than its factorization.

801682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 801682400 is about 28313.9965388145. The cubic root of 801682400 is about 928.9680618330.

The spelling of 801682400 in words is "eight hundred one million, six hundred eighty-two thousand, four hundred".