1977777648 has 200 divisors, whose sum is σ = 7137102720. Its totient is φ = 513682560.

The previous prime is 1977777617. The next prime is 1977777689. The reversal of 1977777648 is 8467777791.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89883 + ... + 109701.

Almost surely, 2^1977777648 is an apocalyptic number.

1977777648 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 1977777648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568551360).

1977777648 is an abundant number, since it is smaller than the sum of its proper divisors (5159325072).

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

1977777648 is a wasteful number, since it uses less digits than its factorization.

1977777648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19857 (or 19842 counting only the distinct ones).

The product of its digits is 29042496, while the sum is 63.

The square root of 1977777648 is about 44472.2120879994. The cubic root of 1977777648 is about 1255.2372578319.

The spelling of 1977777648 in words is "one billion, nine hundred seventy-seven million, seven hundred seventy-seven thousand, six hundred forty-eight".