1977792768 has 288 divisors, whose sum is σ = 6854104320. Its totient is φ = 550748160.

The previous prime is 1977792731. The next prime is 1977792781. The reversal of 1977792768 is 8672977791.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 1983246 + ... + 1984242.

Almost surely, 2^1977792768 is an apocalyptic number.

1977792768 is a gapful number since it is divisible by the number (18) 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 1977792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427052160).

1977792768 is an abundant number, since it is smaller than the sum of its proper divisors (4876311552).

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

1977792768 is an equidigital number, since it uses as much as digits as its factorization.

1977792768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1050 counting only the distinct ones).

The product of its digits is 18670176, while the sum is 63.

The square root of 1977792768 is about 44472.3820814671. The cubic root of 1977792768 is about 1255.2404565634.

The spelling of 1977792768 in words is "one billion, nine hundred seventy-seven million, seven hundred ninety-two thousand, seven hundred sixty-eight".