801406827 has 24 divisors (see below), whose sum is σ = 1248234624. Its totient is φ = 492539904.

The previous prime is 801406811. The next prime is 801406841. The reversal of 801406827 is 728604108.

It is not a de Polignac number, because 801406827 - 2⁴ = 801406811 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 801406791 and 801406800.

It is not an unprimeable number, because it can be changed into a prime (801406897) 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, 97003 + ... + 104939.

It is an arithmetic number, because the mean of its divisors is an integer number (52009776).

Almost surely, 2^801406827 is an apocalyptic number.

801406827 is a deficient number, since it is larger than the sum of its proper divisors (446827797).

801406827 is a wasteful number, since it uses less digits than its factorization.

801406827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 801406827 is about 28309.1297464263. The cubic root of 801406827 is about 928.8616074341.

The spelling of 801406827 in words is "eight hundred one million, four hundred six thousand, eight hundred twenty-seven".