1282382880 has 48 divisors (see below), whose sum is σ = 4039507584. Its totient is φ = 341968640.

The previous prime is 1282382869. The next prime is 1282382887. The reversal of 1282382880 is 882832821.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1282382887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1335336 + ... + 1336295.

It is an arithmetic number, because the mean of its divisors is an integer number (84156408).

Almost surely, 2^1282382880 is an apocalyptic number.

1282382880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1282382880 is an abundant number, since it is smaller than the sum of its proper divisors (2757124704).

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

1282382880 is a wasteful number, since it uses less digits than its factorization.

1282382880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671649 (or 2671641 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 1282382880 is about 35810.3739159479. The cubic root of 1282382880 is about 1086.4403926641.

It can be divided in two parts, 12823 and 82880, that added together give a triangular number (95703 = T₄₃₇).

The spelling of 1282382880 in words is "one billion, two hundred eighty-two million, three hundred eighty-two thousand, eight hundred eighty".