1977530112 has 216 divisors, whose sum is σ = 5999745024. Its totient is φ = 649534464.

The previous prime is 1977530101. The next prime is 1977530129. The reversal of 1977530112 is 2110357791.

1977530112 is a `hidden beast` number, since 1 + 9 + 7 + 7 + 530 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 5163073 + ... + 5163455.

Almost surely, 2^1977530112 is an apocalyptic number.

1977530112 is a gapful number since it is divisible by the number (12) 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 1977530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999872512).

1977530112 is an abundant number, since it is smaller than the sum of its proper divisors (4022214912).

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

1977530112 is an frugal number, since it uses more digits than its factorization.

1977530112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 1977530112 is about 44469.4289596797. The cubic root of 1977530112 is about 1255.1848877093.

The spelling of 1977530112 in words is "one billion, nine hundred seventy-seven million, five hundred thirty thousand, one hundred twelve".