802578 has 32 divisors (see below), whose sum is σ = 1862784. Its totient is φ = 225792.

The previous prime is 802573. The next prime is 802583. The reversal of 802578 is 875208.

802578 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (802573) and next prime (802583).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802578.

It is not an unprimeable number, because it can be changed into a prime (802573) by changing a digit.

802578 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3976 + ... + 4172.

It is an arithmetic number, because the mean of its divisors is an integer number (58212).

2⁸⁰²⁵⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392).

802578 is an abundant number, since it is smaller than the sum of its proper divisors (1060206).

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

802578 is a wasteful number, since it uses less digits than its factorization.

802578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 802578 is about 895.8671776553. The cubic root of 802578 is about 92.9313865513.

The spelling of 802578 in words is "eight hundred two thousand, five hundred seventy-eight".