1764081990 has 240 divisors, whose sum is σ = 5353175520. Its totient is φ = 416275200.

The previous prime is 1764081931. The next prime is 1764082039. The reversal of 1764081990 is 991804671.

It is a happy number.

It is a super-2 number, since 2×1764081990² = 6223970534884720200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4018191 + ... + 4018629.

It is an arithmetic number, because the mean of its divisors is an integer number (22304898).

Almost surely, 2^1764081990 is an apocalyptic number.

1764081990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1764081990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676587760).

1764081990 is an abundant number, since it is smaller than the sum of its proper divisors (3589093530).

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

1764081990 is a wasteful number, since it uses less digits than its factorization.

1764081990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1764081990 is about 42000.9760600870. The cubic root of 1764081990 is about 1208.2948433664.

The spelling of 1764081990 in words is "one billion, seven hundred sixty-four million, eighty-one thousand, nine hundred ninety".