1263878880 has 288 divisors, whose sum is σ = 4478810112. Its totient is φ = 299228160.

The previous prime is 1263878867. The next prime is 1263878929. The reversal of 1263878880 is 888783621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2729529 + ... + 2729991.

It is an arithmetic number, because the mean of its divisors is an integer number (15551424).

Almost surely, 2^1263878880 is an apocalyptic number.

1263878880 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 1263878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239405056).

1263878880 is an abundant number, since it is smaller than the sum of its proper divisors (3214931232).

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

1263878880 is a wasteful number, since it uses less digits than its factorization.

1263878880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 1263878880 is about 35551.0742453727. The cubic root of 1263878880 is about 1081.1894987475.

The spelling of 1263878880 in words is "one billion, two hundred sixty-three million, eight hundred seventy-eight thousand, eight hundred eighty".