838762496 has 128 divisors (see below), whose sum is σ = 1981778400. Its totient is φ = 349962240.

The previous prime is 838762469. The next prime is 838762511. The reversal of 838762496 is 694267838.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4685735 + ... + 4685913.

Almost surely, 2^838762496 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 838762496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990889200).

838762496 is an abundant number, since it is smaller than the sum of its proper divisors (1143015904).

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

838762496 is a wasteful number, since it uses less digits than its factorization.

838762496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 53.

The square root of 838762496 is about 28961.3966514048. The cubic root of 838762496 is about 943.0752218978.

The spelling of 838762496 in words is "eight hundred thirty-eight million, seven hundred sixty-two thousand, four hundred ninety-six".