1207879200 has 432 divisors, whose sum is σ = 4723572672. Its totient is φ = 288000000.

The previous prime is 1207879177. The next prime is 1207879219. The reversal of 1207879200 is 29787021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7999125 + ... + 7999275.

It is an arithmetic number, because the mean of its divisors is an integer number (10934196).

Almost surely, 2^1207879200 is an apocalyptic number.

1207879200 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 1207879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361786336).

1207879200 is an abundant number, since it is smaller than the sum of its proper divisors (3515693472).

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

1207879200 is a wasteful number, since it uses less digits than its factorization.

1207879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1207879200 is about 34754.5565357983. The cubic root of 1207879200 is about 1064.9793026461.

The spelling of 1207879200 in words is "one billion, two hundred seven million, eight hundred seventy-nine thousand, two hundred".