987778560 has 160 divisors (see below), whose sum is σ = 3235855392. Its totient is φ = 256901120.

The previous prime is 987778511. The next prime is 987778577. The reversal of 987778560 is 65877789.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 987778560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313312 + ... + 316448.

Almost surely, 2^987778560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617927696).

987778560 is an abundant number, since it is smaller than the sum of its proper divisors (2248076832).

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

987778560 is a wasteful number, since it uses less digits than its factorization.

987778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 57.

The square root of 987778560 is about 31428.9446211609. The cubic root of 987778560 is about 995.9094771038.

The spelling of 987778560 in words is "nine hundred eighty-seven million, seven hundred seventy-eight thousand, five hundred sixty".