76838000 has 80 divisors (see below), whose sum is σ = 188101056. Its totient is φ = 30355200.

The previous prime is 76837993. The next prime is 76838017. The reversal of 76838000 is 83867.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 205814 + ... + 206186.

Almost surely, 2^76838000 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 76838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94050528).

76838000 is an abundant number, since it is smaller than the sum of its proper divisors (111263056).

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

76838000 is a wasteful number, since it uses less digits than its factorization.

76838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 76838000 is about 8765.7287204202. The cubic root of 76838000 is about 425.1335220609.

The spelling of 76838000 in words is "seventy-six million, eight hundred thirty-eight thousand".