838730880 has 384 divisors, whose sum is σ = 3261323520. Its totient is φ = 197074944.

The previous prime is 838730873. The next prime is 838730917. The reversal of 838730880 is 88037838.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1721997 + ... + 1722483.

It is an arithmetic number, because the mean of its divisors is an integer number (8493030).

Almost surely, 2^838730880 is an apocalyptic number.

838730880 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 838730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630661760).

838730880 is an abundant number, since it is smaller than the sum of its proper divisors (2422592640).

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

838730880 is a wasteful number, since it uses less digits than its factorization.

838730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 838730880 is about 28960.8508162312. The cubic root of 838730880 is about 943.0633724406.

The spelling of 838730880 in words is "eight hundred thirty-eight million, seven hundred thirty thousand, eight hundred eighty".