1968782760 has 240 divisors, whose sum is σ = 7698293460. Its totient is φ = 449971200.

The previous prime is 1968782729. The next prime is 1968782791. The reversal of 1968782760 is 672878691.

It is an interprime number because it is at equal distance from previous prime (1968782729) and next prime (1968782791).

It can be written as a sum of positive squares in 2 ways, for example, as 1933712676 + 35070084 = 43974^2 + 5922^2 .

It is a super-2 number, since 2×1968782760² = 7752211112146435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1968782697 and 1968782706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 152560 + ... + 164960.

Almost surely, 2^1968782760 is an apocalyptic number.

1968782760 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 1968782760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849146730).

1968782760 is an abundant number, since it is smaller than the sum of its proper divisors (5729510700).

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

1968782760 is a wasteful number, since it uses less digits than its factorization.

1968782760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12438 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 1968782760 is about 44370.9675350899. The cubic root of 1968782760 is about 1253.3314354757.

The spelling of 1968782760 in words is "one billion, nine hundred sixty-eight million, seven hundred eighty-two thousand, seven hundred sixty".