806652000 has 768 divisors, whose sum is σ = 3698472960. Its totient is φ = 165888000.

The previous prime is 806651981. The next prime is 806652013. The reversal of 806652000 is 256608.

806652000 is a `hidden beast` number, since 8 + 0 + 6 + 652 + 0 + 0 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 8315952 + ... + 8316048.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^806652000 is an apocalyptic number.

806652000 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 806652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

806652000 is an abundant number, since it is smaller than the sum of its proper divisors (2891820960).

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

806652000 is a wasteful number, since it uses less digits than its factorization.

806652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 806652000 is about 28401.6196721243. The cubic root of 806652000 is about 930.8836554311.

The spelling of 806652000 in words is "eight hundred six million, six hundred fifty-two thousand".