805769640 has 256 divisors, whose sum is σ = 2993760000. Its totient is φ = 191407104.

The previous prime is 805769623. The next prime is 805769659. The reversal of 805769640 is 46967508.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406171 + ... + 408149.

It is an arithmetic number, because the mean of its divisors is an integer number (11694375).

Almost surely, 2^805769640 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 805769640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496880000).

805769640 is an abundant number, since it is smaller than the sum of its proper divisors (2187990360).

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

805769640 is a wasteful number, since it uses less digits than its factorization.

805769640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 805769640 is about 28386.0818007699. The cubic root of 805769640 is about 930.5441144756.

The spelling of 805769640 in words is "eight hundred five million, seven hundred sixty-nine thousand, six hundred forty".