838764000 has 288 divisors, whose sum is σ = 3109264704. Its totient is φ = 213734400.

The previous prime is 838763963. The next prime is 838764011. The reversal of 838764000 is 467838.

838764000 is a `hidden beast` number, since 8 + 3 + 8 + 7 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827494 + ... + 828506.

It is an arithmetic number, because the mean of its divisors is an integer number (10796058).

Almost surely, 2^838764000 is an apocalyptic number.

838764000 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 838764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554632352).

838764000 is an abundant number, since it is smaller than the sum of its proper divisors (2270500704).

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

838764000 is a wasteful number, since it uses less digits than its factorization.

838764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 838764000 is about 28961.4226169917. The cubic root of 838764000 is about 943.0757855791.

The spelling of 838764000 in words is "eight hundred thirty-eight million, seven hundred sixty-four thousand".