760116000 has 192 divisors, whose sum is σ = 2846188800. Its totient is φ = 173721600.

The previous prime is 760115963. The next prime is 760116017. The reversal of 760116000 is 611067.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79476 + ... + 88524.

It is an arithmetic number, because the mean of its divisors is an integer number (14823900).

Almost surely, 2^760116000 is an apocalyptic number.

760116000 is a gapful number since it is divisible by the number (70) 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 760116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423094400).

760116000 is an abundant number, since it is smaller than the sum of its proper divisors (2086072800).

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

760116000 is a wasteful number, since it uses less digits than its factorization.

760116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9084 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 760116000 is about 27570.2013050322. The cubic root of 760116000 is about 912.6269542510.

Adding to 760116000 its reverse (611067), we get a palindrome (760727067).

The spelling of 760116000 in words is "seven hundred sixty million, one hundred sixteen thousand".