802101582 has 96 divisors (see below), whose sum is σ = 1915680000. Its totient is φ = 248697216.

The previous prime is 802101541. The next prime is 802101593. The reversal of 802101582 is 285101208.

802101582 is a `hidden beast` number, since 80 + 2 + 1 + 0 + 1 + 582 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607169 + ... + 1607667.

It is an arithmetic number, because the mean of its divisors is an integer number (19955000).

Almost surely, 2^802101582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802101582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957840000).

802101582 is an abundant number, since it is smaller than the sum of its proper divisors (1113578418).

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

802101582 is a wasteful number, since it uses less digits than its factorization.

802101582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 802101582 is about 28321.3979527847. The cubic root of 802101582 is about 929.1299459070.

The spelling of 802101582 in words is "eight hundred two million, one hundred one thousand, five hundred eighty-two".