1768494820 has 96 divisors (see below), whose sum is σ = 4064256000. Its totient is φ = 644582400.

The previous prime is 1768494799. The next prime is 1768494839. The reversal of 1768494820 is 284948671.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735981 + ... + 738379.

It is an arithmetic number, because the mean of its divisors is an integer number (42336000).

Almost surely, 2^1768494820 is an apocalyptic number.

1768494820 is a gapful number since it is divisible by the number (10) 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 1768494820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

1768494820 is an abundant number, since it is smaller than the sum of its proper divisors (2295761180).

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

1768494820 is a wasteful number, since it uses less digits than its factorization.

1768494820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 1768494820 is about 42053.4757184231. The cubic root of 1768494820 is about 1209.3015161390.

The spelling of 1768494820 in words is "one billion, seven hundred sixty-eight million, four hundred ninety-four thousand, eight hundred twenty".