838378560 has 112 divisors (see below), whose sum is σ = 2733909696. Its totient is φ = 217516032.

The previous prime is 838378559. The next prime is 838378631. The reversal of 838378560 is 65873838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23719 + ... + 47321.

It is an arithmetic number, because the mean of its divisors is an integer number (24409908).

Almost surely, 2^838378560 is an apocalyptic number.

838378560 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 838378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366954848).

838378560 is an abundant number, since it is smaller than the sum of its proper divisors (1895531136).

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

838378560 is a wasteful number, since it uses less digits than its factorization.

838378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23660 (or 23650 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 838378560 is about 28954.7674830933. The cubic root of 838378560 is about 942.9313051989.

The spelling of 838378560 in words is "eight hundred thirty-eight million, three hundred seventy-eight thousand, five hundred sixty".