1297870800 has 240 divisors, whose sum is σ = 4339722240. Its totient is φ = 331200000.

The previous prime is 1297870787. The next prime is 1297870807. The reversal of 1297870800 is 80787921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1297870800² = 3368937226985280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297870807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5170675 + ... + 5170925.

It is an arithmetic number, because the mean of its divisors is an integer number (18082176).

Almost surely, 2^1297870800 is an apocalyptic number.

1297870800 is a gapful number since it is divisible by the number (10) 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 1297870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169861120).

1297870800 is an abundant number, since it is smaller than the sum of its proper divisors (3041851440).

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

1297870800 is a wasteful number, since it uses less digits than its factorization.

1297870800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 1297870800 is about 36025.9739632394. The cubic root of 1297870800 is about 1090.7967129189.

The spelling of 1297870800 in words is "one billion, two hundred ninety-seven million, eight hundred seventy thousand, eight hundred".