802743648 has 96 divisors (see below), whose sum is σ = 2438876160. Its totient is φ = 226437120.

The previous prime is 802743647. The next prime is 802743649. The reversal of 802743648 is 846347208.

It is an interprime number because it is at equal distance from previous prime (802743647) and next prime (802743649).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802743647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45528 + ... + 60648.

It is an arithmetic number, because the mean of its divisors is an integer number (25404960).

Almost surely, 2^802743648 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 802743648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219438080).

802743648 is an abundant number, since it is smaller than the sum of its proper divisors (1636132512).

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

802743648 is a wasteful number, since it uses less digits than its factorization.

802743648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15220 (or 15212 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 802743648 is about 28332.7310367356. The cubic root of 802743648 is about 929.3777963262.

The spelling of 802743648 in words is "eight hundred two million, seven hundred forty-three thousand, six hundred forty-eight".