1977961600 has 96 divisors (see below), whose sum is σ = 4966774740. Its totient is φ = 778137600.

The previous prime is 1977961519. The next prime is 1977961619. The reversal of 1977961600 is 61697791.

It can be written as a sum of positive squares in 6 ways, for example, as 460703296 + 1517258304 = 21464^2 + 38952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190134 + ... + 200266.

Almost surely, 2^1977961600 is an apocalyptic number.

1977961600 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 1977961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483387370).

1977961600 is an abundant number, since it is smaller than the sum of its proper divisors (2988813140).

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

1977961600 is a wasteful number, since it uses less digits than its factorization.

1977961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 10201 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 46.

The square root of 1977961600 is about 44474.2802077785. The cubic root of 1977961600 is about 1255.2761729320.

It can be divided in two parts, 197796 and 1600, that added together give a triangular number (199396 = T₆₃₁).

The spelling of 1977961600 in words is "one billion, nine hundred seventy-seven million, nine hundred sixty-one thousand, six hundred".