81764000 has 48 divisors (see below), whose sum is σ = 200903976. Its totient is φ = 32704000.

The previous prime is 81763993. The next prime is 81764009. The reversal of 81764000 is 46718.

It can be written as a sum of positive squares in 4 ways, for example, as 38887696 + 42876304 = 6236^2 + 6548^2 .

It is not an unprimeable number, because it can be changed into a prime (81764009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6221 + ... + 14220.

Almost surely, 2^81764000 is an apocalyptic number.

81764000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81764000 is an abundant number, since it is smaller than the sum of its proper divisors (119139976).

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

81764000 is a wasteful number, since it uses less digits than its factorization.

81764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20466 (or 20448 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 81764000 is about 9042.3448286382. The cubic root of 81764000 is about 434.0309604365.

The spelling of 81764000 in words is "eighty-one million, seven hundred sixty-four thousand".