76835000 has 120 divisors (see below), whose sum is σ = 199436160. Its totient is φ = 27720000.

The previous prime is 76834999. The next prime is 76835027. The reversal of 76835000 is 53867.

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 29 ways as a sum of consecutive naturals, for example, 604937 + ... + 605063.

It is an arithmetic number, because the mean of its divisors is an integer number (1661968).

Almost surely, 2^76835000 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 76835000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99718080).

76835000 is an abundant number, since it is smaller than the sum of its proper divisors (122601160).

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

76835000 is a wasteful number, since it uses less digits than its factorization.

76835000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 76835000 is about 8765.5575977801. The cubic root of 76835000 is about 425.1279891337.

Adding to 76835000 its reverse (53867), we get a palindrome (76888867).

The spelling of 76835000 in words is "seventy-six million, eight hundred thirty-five thousand".