816378048 has 112 divisors (see below), whose sum is σ = 2456037760. Its totient is φ = 265773312.

The previous prime is 816378023. The next prime is 816378061. The reversal of 816378048 is 840873618.

816378048 is a `hidden beast` number, since 8 + 1 + 637 + 8 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 816377994 and 816378012.

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 15 ways as a sum of consecutive naturals, for example, 68811 + ... + 79797.

Almost surely, 2^816378048 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 816378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228018880).

816378048 is an abundant number, since it is smaller than the sum of its proper divisors (1639659712).

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

816378048 is a wasteful number, since it uses less digits than its factorization.

816378048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11051 (or 11035 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 816378048 is about 28572.3301114907. The cubic root of 816378048 is about 934.6100342184.

The spelling of 816378048 in words is "eight hundred sixteen million, three hundred seventy-eight thousand, forty-eight".