1031978880 has 320 divisors, whose sum is σ = 3905502480. Its totient is φ = 258785280.

The previous prime is 1031978879. The next prime is 1031978929. The reversal of 1031978880 is 888791301.

1031978880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880695 + ... + 881865.

Almost surely, 2^1031978880 is an apocalyptic number.

1031978880 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 1031978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952751240).

1031978880 is an abundant number, since it is smaller than the sum of its proper divisors (2873523600).

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

1031978880 is a wasteful number, since it uses less digits than its factorization.

1031978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1031978880 is about 32124.4280882944. The cubic root of 1031978880 is about 1010.5479756870.

The spelling of 1031978880 in words is "one billion, thirty-one million, nine hundred seventy-eight thousand, eight hundred eighty".