806544864 has 240 divisors, whose sum is σ = 2520346752. Its totient is φ = 252502272.

The previous prime is 806544829. The next prime is 806544881. The reversal of 806544864 is 468445608.

It is a super-3 number, since 3×806544864³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4948047 + ... + 4948209.

Almost surely, 2^806544864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806544864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260173376).

806544864 is an abundant number, since it is smaller than the sum of its proper divisors (1713801888).

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

806544864 is a wasteful number, since it uses less digits than its factorization.

806544864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 806544864 is about 28399.7335198766. The cubic root of 806544864 is about 930.8424416376.

The spelling of 806544864 in words is "eight hundred six million, five hundred forty-four thousand, eight hundred sixty-four".