802795069440 has 1120 divisors, whose sum is σ = 3543477759360. Its totient is φ = 169317236736.

The previous prime is 802795069421. The next prime is 802795069441. The reversal of 802795069440 is 44960597208.

802795069440 is a `hidden beast` number, since 8 + 0 + 2 + 7 + 9 + 506 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (802795069441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301914831 + ... + 301917489.

It is an arithmetic number, because the mean of its divisors is an integer number (3163819428).

Almost surely, 2^802795069440 is an apocalyptic number.

802795069440 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 802795069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771738879680).

802795069440 is an abundant number, since it is smaller than the sum of its proper divisors (2740682689920).

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

802795069440 is a wasteful number, since it uses less digits than its factorization.

802795069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 802795069440 in words is "eight hundred two billion, seven hundred ninety-five million, sixty-nine thousand, four hundred forty".