806801544 has 96 divisors (see below), whose sum is σ = 2291889600. Its totient is φ = 255911040.

The previous prime is 806801543. The next prime is 806801551. The reversal of 806801544 is 445108608.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 806801499 and 806801508.

It is not an unprimeable number, because it can be changed into a prime (806801543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348262 + ... + 350570.

It is an arithmetic number, because the mean of its divisors is an integer number (23873850).

Almost surely, 2^806801544 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 806801544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145944800).

806801544 is an abundant number, since it is smaller than the sum of its proper divisors (1485088056).

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

806801544 is a wasteful number, since it uses less digits than its factorization.

806801544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2548 counting only the distinct ones).

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

The square root of 806801544 is about 28404.2522168777. The cubic root of 806801544 is about 930.9411769165.

The spelling of 806801544 in words is "eight hundred six million, eight hundred one thousand, five hundred forty-four".