838840320 has 416 divisors, whose sum is σ = 3137480640. Its totient is φ = 212336640.

The previous prime is 838840307. The next prime is 838840351. The reversal of 838840320 is 23048838.

It is a happy number.

838840320 is a nontrivial binomial coefficient, being equal to C(40960, 2).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20459500 + ... + 20459540.

Almost surely, 2^838840320 is an apocalyptic number.

838840320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

838840320 is the 40959-th triangular number and also the 20480-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568740320).

838840320 is an abundant number, since it is smaller than the sum of its proper divisors (2298640320).

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

838840320 is a wasteful number, since it uses less digits than its factorization.

838840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 838840320 is about 28962.7402018524. The cubic root of 838840320 is about 943.1043885239.

It can be divided in two parts, 838840 and 320, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 838840320 in words is "eight hundred thirty-eight million, eight hundred forty thousand, three hundred twenty".