838700400 has 120 divisors (see below), whose sum is σ = 2717169840. Its totient is φ = 221112320.

The previous prime is 838700377. The next prime is 838700411. The reversal of 838700400 is 4007838.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102874 + ... + 110726.

It is an arithmetic number, because the mean of its divisors is an integer number (22643082).

Almost surely, 2^838700400 is an apocalyptic number.

838700400 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 838700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358584920).

838700400 is an abundant number, since it is smaller than the sum of its proper divisors (1878469440).

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

838700400 is a wasteful number, since it uses less digits than its factorization.

838700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7963 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 838700400 is about 28960.3245838164. The cubic root of 838700400 is about 943.0519484664.

The spelling of 838700400 in words is "eight hundred thirty-eight million, seven hundred thousand, four hundred".