1200862080 has 288 divisors, whose sum is σ = 4560617880. Its totient is φ = 290949120.

The previous prime is 1200862063. The next prime is 1200862087. The reversal of 1200862080 is 802680021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200862087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696099 + ... + 697821.

Almost surely, 2^1200862080 is an apocalyptic number.

1200862080 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 1200862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280308940).

1200862080 is an abundant number, since it is smaller than the sum of its proper divisors (3359755800).

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

1200862080 is a wasteful number, since it uses less digits than its factorization.

1200862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1200862080 is about 34653.4569704092. The cubic root of 1200862080 is about 1062.9129795749.

It can be divided in two parts, 12008 and 62080, that added together give a cube (74088 = 42³).

The spelling of 1200862080 in words is "one billion, two hundred million, eight hundred sixty-two thousand, eighty".