1293878800 has 60 divisors (see below), whose sum is σ = 3243720960. Its totient is φ = 495045760.

The previous prime is 1293878753. The next prime is 1293878801. The reversal of 1293878800 is 88783921.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (1293878801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61120 + ... + 79519.

It is an arithmetic number, because the mean of its divisors is an integer number (54062016).

Almost surely, 2^1293878800 is an apocalyptic number.

1293878800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1293878800 is an abundant number, since it is smaller than the sum of its proper divisors (1949842160).

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

1293878800 is a wasteful number, since it uses less digits than its factorization.

1293878800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140680 (or 140669 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 1293878800 is about 35970.5268240542. The cubic root of 1293878800 is about 1089.6772043064.

The spelling of 1293878800 in words is "one billion, two hundred ninety-three million, eight hundred seventy-eight thousand, eight hundred".