1286402880 has 672 divisors, whose sum is σ = 5253776640. Its totient is φ = 264929280.

The previous prime is 1286402867. The next prime is 1286402891. The reversal of 1286402880 is 882046821.

It is a tau number, because it is divible by the number of its divisors (672).

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, 31375660 + ... + 31375700.

It is an arithmetic number, because the mean of its divisors is an integer number (7818120).

Almost surely, 2^1286402880 is an apocalyptic number.

1286402880 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 1286402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626888320).

1286402880 is an abundant number, since it is smaller than the sum of its proper divisors (3967373760).

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

1286402880 is a wasteful number, since it uses less digits than its factorization.

1286402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 1286402880 is about 35866.4589832897. The cubic root of 1286402880 is about 1087.5744623343.

The spelling of 1286402880 in words is "one billion, two hundred eighty-six million, four hundred two thousand, eight hundred eighty".