967782816 has 480 divisors, whose sum is σ = 3831746688. Its totient is φ = 231413760.

The previous prime is 967782779. The next prime is 967782839. The reversal of 967782816 is 618287769.

967782816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594406 + ... + 2594778.

Almost surely, 2^967782816 is an apocalyptic number.

967782816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967782816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915873344).

967782816 is an abundant number, since it is smaller than the sum of its proper divisors (2863963872).

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

967782816 is a wasteful number, since it uses less digits than its factorization.

967782816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 967782816 is about 31109.2078973413. The cubic root of 967782816 is about 989.1435016385.

The spelling of 967782816 in words is "nine hundred sixty-seven million, seven hundred eighty-two thousand, eight hundred sixteen".