806041600 has 288 divisors, whose sum is σ = 2473904160. Its totient is φ = 253624320.

The previous prime is 806041589. The next prime is 806041619. The reversal of 806041600 is 6140608.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 4659114 + ... + 4659286.

It is an arithmetic number, because the mean of its divisors is an integer number (8589945).

Almost surely, 2^806041600 is an apocalyptic number.

806041600 is a gapful number since it is divisible by the number (80) 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 806041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236952080).

806041600 is an abundant number, since it is smaller than the sum of its proper divisors (1667862560).

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

806041600 is a wasteful number, since it uses less digits than its factorization.

806041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 806041600 is about 28390.8717724553. The cubic root of 806041600 is about 930.6487938192.

The spelling of 806041600 in words is "eight hundred six million, forty-one thousand, six hundred".