1295880768 has 560 divisors, whose sum is σ = 4915473024. Its totient is φ = 328458240.

The previous prime is 1295880749. The next prime is 1295880787. The reversal of 1295880768 is 8670885921.

It is an interprime number because it is at equal distance from previous prime (1295880749) and next prime (1295880787).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 19341471 + ... + 19341537.

Almost surely, 2^1295880768 is an apocalyptic number.

1295880768 is a gapful number since it is divisible by the number (18) 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 1295880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457736512).

1295880768 is an abundant number, since it is smaller than the sum of its proper divisors (3619592256).

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

1295880768 is a wasteful number, since it uses less digits than its factorization.

1295880768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 1295880768 is about 35998.3439619102. The cubic root of 1295880768 is about 1090.2389196550.

The spelling of 1295880768 in words is "one billion, two hundred ninety-five million, eight hundred eighty thousand, seven hundred sixty-eight".