1768961720 has 64 divisors (see below), whose sum is σ = 4126723200. Its totient is φ = 681640960.

The previous prime is 1768961699. The next prime is 1768961729. The reversal of 1768961720 is 271698671.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768961729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602897 + ... + 605823.

It is an arithmetic number, because the mean of its divisors is an integer number (64480050).

Almost surely, 2^1768961720 is an apocalyptic number.

1768961720 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 1768961720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063361600).

1768961720 is an abundant number, since it is smaller than the sum of its proper divisors (2357761480).

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

1768961720 is a wasteful number, since it uses less digits than its factorization.

1768961720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The square root of 1768961720 is about 42059.0266173624. The cubic root of 1768961720 is about 1209.4079292669.

The spelling of 1768961720 in words is "one billion, seven hundred sixty-eight million, nine hundred sixty-one thousand, seven hundred twenty".