838978232400 has 540 divisors, whose sum is σ = 3657419097696. Its totient is φ = 174332505600.

The previous prime is 838978232377. The next prime is 838978232423. The reversal of 838978232400 is 4232879838.

838978232400 is a `hidden beast` number, since 83 + 89 + 7 + 82 + 3 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (838978232377) and next prime (838978232423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2911627 + ... + 3186773.

Almost surely, 2^838978232400 is an apocalyptic number.

838978232400 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 838978232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828709548848).

838978232400 is an abundant number, since it is smaller than the sum of its proper divisors (2818440865296).

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

838978232400 is a wasteful number, since it uses less digits than its factorization.

838978232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275200 (or 275175 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 838978232400 in words is "eight hundred thirty-eight billion, nine hundred seventy-eight million, two hundred thirty-two thousand, four hundred".