805158144 has 324 divisors, whose sum is σ = 2816844576. Its totient is φ = 224695296.

The previous prime is 805158121. The next prime is 805158149. The reversal of 805158144 is 441851508.

It is a tau number, because it is divible by the number of its divisors (324).

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 = 805158099 and 805158108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805158149) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18724587 + ... + 18724629.

Almost surely, 2^805158144 is an apocalyptic number.

805158144 is a gapful number since it is divisible by the number (84) 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 805158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408422288).

805158144 is an abundant number, since it is smaller than the sum of its proper divisors (2011686432).

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

805158144 is an frugal number, since it uses more digits than its factorization.

805158144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 805158144 is about 28375.3087031666. The cubic root of 805158144 is about 930.3086592538.

The spelling of 805158144 in words is "eight hundred five million, one hundred fifty-eight thousand, one hundred forty-four".