802433376 has 72 divisors (see below), whose sum is σ = 2309481720. Its totient is φ = 264247296.

The previous prime is 802433369. The next prime is 802433383. The reversal of 802433376 is 673334208.

802433376 is a `hidden beast` number, since 80 + 243 + 337 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (802433369) and next prime (802433383).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 802433376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7120 + ... + 40688.

It is an arithmetic number, because the mean of its divisors is an integer number (32076135).

Almost surely, 2^802433376 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 802433376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154740860).

802433376 is an abundant number, since it is smaller than the sum of its proper divisors (1507048344).

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

802433376 is a wasteful number, since it uses less digits than its factorization.

802433376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33668 (or 33657 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 802433376 is about 28327.2550029119. The cubic root of 802433376 is about 929.2580415875.

The spelling of 802433376 in words is "eight hundred two million, four hundred thirty-three thousand, three hundred seventy-six".