81702000 has 320 divisors, whose sum is σ = 313372800. Its totient is φ = 20275200.

The previous prime is 81701999. The next prime is 81702001. The reversal of 81702000 is 20718.

It is an interprime number because it is at equal distance from previous prime (81701999) and next prime (81702001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81702001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917956 + ... + 918044.

It is an arithmetic number, because the mean of its divisors is an integer number (979290).

Almost surely, 2^81702000 is an apocalyptic number.

81702000 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 81702000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

81702000 is an abundant number, since it is smaller than the sum of its proper divisors (231670800).

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

81702000 is a wasteful number, since it uses less digits than its factorization.

81702000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 81702000 is about 9038.9158641952. The cubic root of 81702000 is about 433.9212270405.

Adding to 81702000 its reverse (20718), we get a palindrome (81722718).

The spelling of 81702000 in words is "eighty-one million, seven hundred two thousand".