838860800 has 78 divisors (see below), whose sum is σ = 2080374753. Its totient is φ = 335544320.

The previous prime is 838860791. The next prime is 838860817. The reversal of 838860800 is 8068838.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 822083584 + 16777216 = 28672^2 + 4096^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=25, B=2.

It is a Duffinian number.

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 167772158 + ... + 167772162.

Almost surely, 2^838860800 is an apocalyptic number.

838860800 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 838860800

838860800 is an abundant number, since it is smaller than the sum of its proper divisors (1241513953).

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

838860800 is an frugal number, since it uses more digits than its factorization.

838860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 838860800 is about 28963.0937574010. The cubic root of 838860800 is about 943.1120636519.

Multiplying 838860800 by its product of nonzero digits (73728), we get a square (61847529062400 = 7864320²).

The spelling of 838860800 in words is "eight hundred thirty-eight million, eight hundred sixty thousand, eight hundred".