838886400 has 396 divisors, whose sum is σ = 3286564944. Its totient is φ = 202752000.

The previous prime is 838886387. The next prime is 838886401. The reversal of 838886400 is 4688838.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (838886401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2534235 + ... + 2534565.

Almost surely, 2^838886400 is an apocalyptic number.

838886400 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 838886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643282472).

838886400 is an abundant number, since it is smaller than the sum of its proper divisors (2447678544).

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

838886400 is a wasteful number, since it uses less digits than its factorization.

838886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 838886400 is about 28963.5356957675. The cubic root of 838886400 is about 943.1216573864.

The spelling of 838886400 in words is "eight hundred thirty-eight million, eight hundred eighty-six thousand, four hundred".