1295878900 has 36 divisors (see below), whose sum is σ = 2817757152. Its totient is φ = 517300960.

The previous prime is 1295878889. The next prime is 1295878901. The reversal of 1295878900 is 98785921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295878901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37419 + ... + 63181.

It is an arithmetic number, because the mean of its divisors is an integer number (78271032).

Almost surely, 2^1295878900 is an apocalyptic number.

1295878900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1295878900 is an abundant number, since it is smaller than the sum of its proper divisors (1521878252).

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

1295878900 is a wasteful number, since it uses less digits than its factorization.

1295878900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26280 (or 26273 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The square root of 1295878900 is about 35998.3180162629. The cubic root of 1295878900 is about 1090.2383957983.

The spelling of 1295878900 in words is "one billion, two hundred ninety-five million, eight hundred seventy-eight thousand, nine hundred".