1977798760 has 192 divisors, whose sum is σ = 5475064320. Its totient is φ = 640120320.

The previous prime is 1977798707. The next prime is 1977798763. The reversal of 1977798760 is 678977791.

It is not an unprimeable number, because it can be changed into a prime (1977798763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612302 + ... + 2613058.

It is an arithmetic number, because the mean of its divisors is an integer number (28515960).

Almost surely, 2^1977798760 is an apocalyptic number.

1977798760 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 1977798760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737532160).

1977798760 is an abundant number, since it is smaller than the sum of its proper divisors (3497265560).

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

1977798760 is a wasteful number, since it uses less digits than its factorization.

1977798760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 9335088, while the sum is 61.

The square root of 1977798760 is about 44472.4494490690. The cubic root of 1977798760 is about 1255.2417242043.

The spelling of 1977798760 in words is "one billion, nine hundred seventy-seven million, seven hundred ninety-eight thousand, seven hundred sixty".