838494720 has 320 divisors, whose sum is σ = 3405853440. Its totient is φ = 191545344.

The previous prime is 838494677. The next prime is 838494733. The reversal of 838494720 is 27494838.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482974 + ... + 484706.

It is an arithmetic number, because the mean of its divisors is an integer number (10643292).

Almost surely, 2^838494720 is an apocalyptic number.

838494720 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 838494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702926720).

838494720 is an abundant number, since it is smaller than the sum of its proper divisors (2567358720).

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

838494720 is a wasteful number, since it uses less digits than its factorization.

838494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 838494720 is about 28956.7733009049. The cubic root of 838494720 is about 942.9748518922.

The spelling of 838494720 in words is "eight hundred thirty-eight million, four hundred ninety-four thousand, seven hundred twenty".