834978816 has 297 divisors, whose sum is σ = 2871353511. Its totient is φ = 233017344.

The previous prime is 834978803. The next prime is 834978827. The reversal of 834978816 is 618879438.

The square root of 834978816 is 28896.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (2322432) is a multiple of the sum of its prime factors (126).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19418091 + ... + 19418133.

Almost surely, 2^834978816 is an apocalyptic number.

834978816 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

834978816 is the 28896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834978816

834978816 is an abundant number, since it is smaller than the sum of its proper divisors (2036374695).

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

834978816 is a wasteful number, since it uses less digits than its factorization.

834978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 55 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The cubic root of 834978816 is about 941.6550050435.

The spelling of 834978816 in words is "eight hundred thirty-four million, nine hundred seventy-eight thousand, eight hundred sixteen".