802912440 has 160 divisors (see below), whose sum is σ = 2655392400. Its totient is φ = 194219520.

The previous prime is 802912427. The next prime is 802912441. The reversal of 802912440 is 44219208.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 802912398 and 802912407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802912441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1756692 + ... + 1757148.

Almost surely, 2^802912440 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 802912440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327696200).

802912440 is an abundant number, since it is smaller than the sum of its proper divisors (1852479960).

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

802912440 is a wasteful number, since it uses less digits than its factorization.

802912440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 802912440 is about 28335.7096258414. The cubic root of 802912440 is about 929.4429315008.

The spelling of 802912440 in words is "eight hundred two million, nine hundred twelve thousand, four hundred forty".