806403840 has 288 divisors, whose sum is σ = 2977502976. Its totient is φ = 183828480.

The previous prime is 806403839. The next prime is 806403853. The reversal of 806403840 is 48304608.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717519 + ... + 718641.

It is an arithmetic number, because the mean of its divisors is an integer number (10338552).

Almost surely, 2^806403840 is an apocalyptic number.

806403840 is a gapful number since it is divisible by the number (80) 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 806403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488751488).

806403840 is an abundant number, since it is smaller than the sum of its proper divisors (2171099136).

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

806403840 is a wasteful number, since it uses less digits than its factorization.

806403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 806403840 is about 28397.2505711380. The cubic root of 806403840 is about 930.7881860171.

The spelling of 806403840 in words is "eight hundred six million, four hundred three thousand, eight hundred forty".