76835968 has 80 divisors (see below), whose sum is σ = 172484550. Its totient is φ = 34073600.

The previous prime is 76835963. The next prime is 76835989. The reversal of 76835968 is 86953867.

It can be written as a sum of positive squares in only one way, i.e., 75898944 + 937024 = 8712^2 + 968^2 .

Its product of digits (2177280) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (76835963) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1874028 + ... + 1874068.

Almost surely, 2^76835968 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 76835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86242275).

76835968 is an abundant number, since it is smaller than the sum of its proper divisors (95648582).

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

76835968 is an frugal number, since it uses more digits than its factorization.

76835968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 76835968 is about 8765.6128137170. The cubic root of 76835968 is about 425.1297744406.

The spelling of 76835968 in words is "seventy-six million, eight hundred thirty-five thousand, nine hundred sixty-eight".