987793704000 has 560 divisors, whose sum is σ = 3869308563120. Its totient is φ = 247914086400.

The previous prime is 987793703977. The next prime is 987793704043. The reversal of 987793704000 is 407397789.

987793704000 is a `hidden beast` number, since 9 + 87 + 7 + 93 + 70 + 400 + 0 = 666.

987793704000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 288188596224 + 699605107776 = 536832^2 + 836424^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10971166 + ... + 11060834.

It is an arithmetic number, because the mean of its divisors is an integer number (6909479577).

Almost surely, 2^987793704000 is an apocalyptic number.

987793704000 is a gapful number since it is divisible by the number (90) 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 987793704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934654281560).

987793704000 is an abundant number, since it is smaller than the sum of its proper divisors (2881514859120).

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

987793704000 is a wasteful number, since it uses less digits than its factorization.

987793704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89725 (or 89696 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 987793704000 in words is "nine hundred eighty-seven billion, seven hundred ninety-three million, seven hundred four thousand".