820805734 has 64 divisors (see below), whose sum is σ = 1492531200. Its totient is φ = 331164288.

The previous prime is 820805731. The next prime is 820805759. The reversal of 820805734 is 437508028.

It is a junction number, because it is equal to n+sod(n) for n = 820805693 and 820805702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820805731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5035537 + ... + 5035699.

It is an arithmetic number, because the mean of its divisors is an integer number (23320800).

Almost surely, 2^820805734 is an apocalyptic number.

820805734 is a deficient number, since it is larger than the sum of its proper divisors (671725466).

820805734 is a wasteful number, since it uses less digits than its factorization.

820805734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 820805734 is about 28649.7073981568. The cubic root of 820805734 is about 936.2966306960.

The spelling of 820805734 in words is "eight hundred twenty million, eight hundred five thousand, seven hundred thirty-four".