1205750000 has 280 divisors, whose sum is σ = 3661828128. Its totient is φ = 374400000.

The previous prime is 1205749997. The next prime is 1205750003. The reversal of 1205750000 is 575021.

It is an interprime number because it is at equal distance from previous prime (1205749997) and next prime (1205750003).

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205750003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22749974 + ... + 22750026.

Almost surely, 2^1205750000 is an apocalyptic number.

1205750000 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 1205750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830914064).

1205750000 is an abundant number, since it is smaller than the sum of its proper divisors (2456078128).

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

1205750000 is an frugal number, since it uses more digits than its factorization.

1205750000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 1205750000 is about 34723.9110700393. The cubic root of 1205750000 is about 1064.3531672894.

The spelling of 1205750000 in words is "one billion, two hundred five million, seven hundred fifty thousand".