81774000 has 480 divisors, whose sum is σ = 362119680. Its totient is φ = 16704000.

The previous prime is 81773987. The next prime is 81774013. The reversal of 81774000 is 47718.

It is an interprime number because it is at equal distance from previous prime (81773987) and next prime (81774013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1385971 + ... + 1386029.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 2^81774000 is an apocalyptic number.

81774000 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 81774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

81774000 is an abundant number, since it is smaller than the sum of its proper divisors (280345680).

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

81774000 is a wasteful number, since it uses less digits than its factorization.

81774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 81774000 is about 9042.8977656501. The cubic root of 81774000 is about 434.0486541757.

The spelling of 81774000 in words is "eighty-one million, seven hundred seventy-four thousand".