845400816 has 120 divisors (see below), whose sum is σ = 2579116176. Its totient is φ = 256942080.

The previous prime is 845400791. The next prime is 845400823. The reversal of 845400816 is 618004548.

845400816 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152656 + ... + 158096.

Almost surely, 2^845400816 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 845400816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289558088).

845400816 is an abundant number, since it is smaller than the sum of its proper divisors (1733715360).

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

845400816 is a wasteful number, since it uses less digits than its factorization.

845400816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 845400816 is about 29075.7771349280. Note that the first 3 decimals coincide. The cubic root of 845400816 is about 945.5566519677.

The spelling of 845400816 in words is "eight hundred forty-five million, four hundred thousand, eight hundred sixteen".