802775040 has 224 divisors, whose sum is σ = 2642250240. Its totient is φ = 208011264.

The previous prime is 802775027. The next prime is 802775053. The reversal of 802775040 is 40577208.

It is an interprime number because it is at equal distance from previous prime (802775027) and next prime (802775053).

It is a junction number, because it is equal to n+sod(n) for n = 802774992 and 802775010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5775291 + ... + 5775429.

It is an arithmetic number, because the mean of its divisors is an integer number (11795760).

Almost surely, 2^802775040 is an apocalyptic number.

802775040 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 802775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321125120).

802775040 is an abundant number, since it is smaller than the sum of its proper divisors (1839475200).

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

802775040 is a wasteful number, since it uses less digits than its factorization.

802775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 802775040 is about 28333.2850195667. The cubic root of 802775040 is about 929.3899108817.

The spelling of 802775040 in words is "eight hundred two million, seven hundred seventy-five thousand, forty".