805102848 has 144 divisors (see below), whose sum is σ = 2597515200. Its totient is φ = 243947520.

The previous prime is 805102777. The next prime is 805102853. The reversal of 805102848 is 848201508.

805102848 is a `hidden beast` number, since 80 + 510 + 28 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×805102848² = 1296381191715422208, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 70738 + ... + 81326.

It is an arithmetic number, because the mean of its divisors is an integer number (18038300).

Almost surely, 2^805102848 is an apocalyptic number.

805102848 is a gapful number since it is divisible by the number (88) 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 805102848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298757600).

805102848 is an abundant number, since it is smaller than the sum of its proper divisors (1792412352).

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

805102848 is a wasteful number, since it uses less digits than its factorization.

805102848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 805102848 is about 28374.3343181827. The cubic root of 805102848 is about 930.2873617709.

The spelling of 805102848 in words is "eight hundred five million, one hundred two thousand, eight hundred forty-eight".