986078880 has 384 divisors, whose sum is σ = 3788467200. Its totient is φ = 238436352.

The previous prime is 986078879. The next prime is 986078893. The reversal of 986078880 is 88870689.

986078880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 2129529 + ... + 2129991.

It is an arithmetic number, because the mean of its divisors is an integer number (9865800).

Almost surely, 2^986078880 is an apocalyptic number.

986078880 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 986078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894233600).

986078880 is an abundant number, since it is smaller than the sum of its proper divisors (2802388320).

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

986078880 is a wasteful number, since it uses less digits than its factorization.

986078880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 986078880 is about 31401.8929365731. The cubic root of 986078880 is about 995.3379255047.

The spelling of 986078880 in words is "nine hundred eighty-six million, seventy-eight thousand, eight hundred eighty".