1288782640 has 40 divisors (see below), whose sum is σ = 2998790208. Its totient is φ = 515105280.

The previous prime is 1288782601. The next prime is 1288782653. The reversal of 1288782640 is 462878821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108180 + ... + 119500.

Almost surely, 2^1288782640 is an apocalyptic number.

1288782640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288782640 is an abundant number, since it is smaller than the sum of its proper divisors (1710007568).

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

1288782640 is a wasteful number, since it uses less digits than its factorization.

1288782640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12757 (or 12751 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 1288782640 is about 35899.6189394818. The cubic root of 1288782640 is about 1088.2446960800.

The spelling of 1288782640 in words is "one billion, two hundred eighty-eight million, seven hundred eighty-two thousand, six hundred forty".