1987977600 has 768 divisors, whose sum is σ = 8803008000. Its totient is φ = 427991040.

The previous prime is 1987977527. The next prime is 1987977613. The reversal of 1987977600 is 67797891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11491114 + ... + 11491286.

It is an arithmetic number, because the mean of its divisors is an integer number (11462250).

Almost surely, 2^1987977600 is an apocalyptic number.

1987977600 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 1987977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401504000).

1987977600 is an abundant number, since it is smaller than the sum of its proper divisors (6815030400).

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

1987977600 is a wasteful number, since it uses less digits than its factorization.

1987977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The square root of 1987977600 is about 44586.7424241781. The cubic root of 1987977600 is about 1257.3914286121.

It can be divided in two parts, 19879 and 77600, that added together give a palindrome (97479).

The spelling of 1987977600 in words is "one billion, nine hundred eighty-seven million, nine hundred seventy-seven thousand, six hundred".