987779100 has 288 divisors, whose sum is σ = 3626767872. Its totient is φ = 201600000.

The previous prime is 987779081. The next prime is 987779123. The reversal of 987779100 is 1977789.

It is a self number, because there is not a number n which added to its sum of digits gives 987779100.

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, 1408750 + ... + 1409450.

It is an arithmetic number, because the mean of its divisors is an integer number (12592944).

Almost surely, 2^987779100 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 987779100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813383936).

987779100 is an abundant number, since it is smaller than the sum of its proper divisors (2638988772).

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

987779100 is a wasteful number, since it uses less digits than its factorization.

987779100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 48.

The square root of 987779100 is about 31428.9532119668. The cubic root of 987779100 is about 995.9096585855.

It can be divided in two parts, 987 and 779100, that added together give a palindrome (780087).

The spelling of 987779100 in words is "nine hundred eighty-seven million, seven hundred seventy-nine thousand, one hundred".