1206766080 has 640 divisors, whose sum is σ = 4949683200. Its totient is φ = 276037632.

The previous prime is 1206766051. The next prime is 1206766081. The reversal of 1206766080 is 806676021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (1206766081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15275481 + ... + 15275559.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^1206766080 is an apocalyptic number.

1206766080 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 1206766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474841600).

1206766080 is an abundant number, since it is smaller than the sum of its proper divisors (3742917120).

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

1206766080 is a wasteful number, since it uses less digits than its factorization.

1206766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1206766080 is about 34738.5388293751. The cubic root of 1206766080 is about 1064.6520585260.

It can be divided in two parts, 120676 and 6080, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 1206766080 in words is "one billion, two hundred six million, seven hundred sixty-six thousand, eighty".