1977730560 has 640 divisors, whose sum is σ = 7919493120. Its totient is φ = 464486400.

The previous prime is 1977730537. The next prime is 1977730561. The reversal of 1977730560 is 650377791.

1977730560 is a `hidden beast` number, since 19 + 7 + 7 + 73 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1977730560² = 7822836335915827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977730561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27855325 + ... + 27855395.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 2^1977730560 is an apocalyptic number.

1977730560 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 1977730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959746560).

1977730560 is an abundant number, since it is smaller than the sum of its proper divisors (5941762560).

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

1977730560 is a wasteful number, since it uses less digits than its factorization.

1977730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 1977730560 is about 44471.6826756083. The cubic root of 1977730560 is about 1255.2272959636.

The spelling of 1977730560 in words is "one billion, nine hundred seventy-seven million, seven hundred thirty thousand, five hundred sixty".