802723680 has 432 divisors, whose sum is σ = 3199839552. Its totient is φ = 182476800.

The previous prime is 802723651. The next prime is 802723681. The reversal of 802723680 is 86327208.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802723681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2961945 + ... + 2962215.

It is an arithmetic number, because the mean of its divisors is an integer number (7407036).

Almost surely, 2^802723680 is an apocalyptic number.

802723680 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 802723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599919776).

802723680 is an abundant number, since it is smaller than the sum of its proper divisors (2397115872).

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

802723680 is a wasteful number, since it uses less digits than its factorization.

802723680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 802723680 is about 28332.3786505828. The cubic root of 802723680 is about 929.3700902672.

The spelling of 802723680 in words is "eight hundred two million, seven hundred twenty-three thousand, six hundred eighty".