1190768760 has 192 divisors, whose sum is σ = 4114281600. Its totient is φ = 297831168.

The previous prime is 1190768759. The next prime is 1190768783. The reversal of 1190768760 is 678670911.

1190768760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731067 + ... + 732693.

It is an arithmetic number, because the mean of its divisors is an integer number (21428550).

Almost surely, 2^1190768760 is an apocalyptic number.

1190768760 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 1190768760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057140800).

1190768760 is an abundant number, since it is smaller than the sum of its proper divisors (2923512840).

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

1190768760 is a wasteful number, since it uses less digits than its factorization.

1190768760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1190768760 is about 34507.5174418561. The cubic root of 1190768760 is about 1059.9266473508.

The spelling of 1190768760 in words is "one billion, one hundred ninety million, seven hundred sixty-eight thousand, seven hundred sixty".