838289700 has 108 divisors (see below), whose sum is σ = 2672276880. Its totient is φ = 219741120.

The previous prime is 838289677. The next prime is 838289713. The reversal of 838289700 is 7982838.

838289700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×838289700² = 1405459242252180000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45207 + ... + 60993.

Almost surely, 2^838289700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838289700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336138440).

838289700 is an abundant number, since it is smaller than the sum of its proper divisors (1833987180).

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

838289700 is a wasteful number, since it uses less digits than its factorization.

838289700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15866 (or 15856 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 838289700 is about 28953.2329801009. The cubic root of 838289700 is about 942.8979901627.

It can be divided in two parts, 83828 and 9700, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 838289700 in words is "eight hundred thirty-eight million, two hundred eighty-nine thousand, seven hundred".