1797760680 has 128 divisors (see below), whose sum is σ = 5662310400. Its totient is φ = 456019200.

The previous prime is 1797760673. The next prime is 1797760681. The reversal of 1797760680 is 860677971.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1797760681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215385 + ... + 223575.

It is an arithmetic number, because the mean of its divisors is an integer number (44236800).

Almost surely, 2^1797760680 is an apocalyptic number.

1797760680 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 1797760680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831155200).

1797760680 is an abundant number, since it is smaller than the sum of its proper divisors (3864549720).

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

1797760680 is a wasteful number, since it uses less digits than its factorization.

1797760680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8295 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The square root of 1797760680 is about 42400.0080188672. The cubic root of 1797760680 is about 1215.9357454650.

The spelling of 1797760680 in words is "one billion, seven hundred ninety-seven million, seven hundred sixty thousand, six hundred eighty".