761988165120 has 960 divisors, whose sum is σ = 3314706595200. Its totient is φ = 160749453312.

The previous prime is 761988165049. The next prime is 761988165161. The reversal of 761988165120 is 21561889167.

It is a happy number.

761988165120 is a `hidden beast` number, since 7 + 619 + 8 + 8 + 1 + 6 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×761988165120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102731652 + ... + 102739068.

It is an arithmetic number, because the mean of its divisors is an integer number (3452819370).

Almost surely, 2^761988165120 is an apocalyptic number.

761988165120 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 761988165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657353297600).

761988165120 is an abundant number, since it is smaller than the sum of its proper divisors (2552718430080).

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

761988165120 is a wasteful number, since it uses less digits than its factorization.

761988165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 761988165120 in words is "seven hundred sixty-one billion, nine hundred eighty-eight million, one hundred sixty-five thousand, one hundred twenty".