1977830100 has 54 divisors (see below), whose sum is σ = 6199401390. Its totient is φ = 527421120.

The previous prime is 1977830089. The next prime is 1977830143. The reversal of 1977830100 is 10387791.

1977830100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 220879044 + 1756951056 = 14862^2 + 41916^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 1097895 + ... + 1099694.

Almost surely, 2^1977830100 is an apocalyptic number.

1977830100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1977830100 is an abundant number, since it is smaller than the sum of its proper divisors (4221571290).

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

1977830100 is a wasteful number, since it uses less digits than its factorization.

1977830100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197609 (or 2197599 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1977830100 is about 44472.8018006511. The cubic root of 1977830100 is about 1255.2483543140.

The spelling of 1977830100 in words is "one billion, nine hundred seventy-seven million, eight hundred thirty thousand, one hundred".