76782816 has 120 divisors (see below), whose sum is σ = 246436344. Its totient is φ = 23258880.

The previous prime is 76782767. The next prime is 76782833. The reversal of 76782816 is 61828767.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27166 + ... + 29858.

Almost surely, 2^76782816 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 76782816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123218172).

76782816 is an abundant number, since it is smaller than the sum of its proper divisors (169653528).

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

76782816 is a wasteful number, since it uses less digits than its factorization.

76782816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2709 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 76782816 is about 8762.5804418562. The cubic root of 76782816 is about 425.0317226609.

The spelling of 76782816 in words is "seventy-six million, seven hundred eighty-two thousand, eight hundred sixteen".