1160807760 has 400 divisors, whose sum is σ = 4665403776. Its totient is φ = 262020096.

The previous prime is 1160807759. The next prime is 1160807773. The reversal of 1160807760 is 677080611.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7121439 + ... + 7121601.

Almost surely, 2^1160807760 is an apocalyptic number.

1160807760 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 1160807760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332701888).

1160807760 is an abundant number, since it is smaller than the sum of its proper divisors (3504596016).

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

1160807760 is a wasteful number, since it uses less digits than its factorization.

1160807760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 337 counting only the distinct ones).

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

The square root of 1160807760 is about 34070.6289933133. The cubic root of 1160807760 is about 1050.9614051600.

It can be divided in two parts, 1 and 160807760, that added together give a square (160807761 = 12681²).

The spelling of 1160807760 in words is "one billion, one hundred sixty million, eight hundred seven thousand, seven hundred sixty".