802111680 has 448 divisors, whose sum is σ = 3089940480. Its totient is φ = 195084288.

The previous prime is 802111669. The next prime is 802111691. The reversal of 802111680 is 86111208.

It is an interprime number because it is at equal distance from previous prime (802111669) and next prime (802111691).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6315777 + ... + 6315903.

Almost surely, 2^802111680 is an apocalyptic number.

802111680 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 802111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544970240).

802111680 is an abundant number, since it is smaller than the sum of its proper divisors (2287828800).

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

802111680 is a wasteful number, since it uses less digits than its factorization.

802111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 802111680 is about 28321.5762273218. The cubic root of 802111680 is about 929.1338449622.

Adding to 802111680 its reverse (86111208), we get a palindrome (888222888).

It can be divided in two parts, 8021 and 11680, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 802111680 in words is "eight hundred two million, one hundred eleven thousand, six hundred eighty".