761667840000 has 480 divisors, whose sum is σ = 2819528712000. Its totient is φ = 203102208000.

The previous prime is 761667839993. The next prime is 761667840001. The reversal of 761667840000 is 48766167.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (761667840001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34548981 + ... + 34571019.

It is an arithmetic number, because the mean of its divisors is an integer number (5874018150).

Almost surely, 2^761667840000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761667840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409764356000).

761667840000 is an abundant number, since it is smaller than the sum of its proper divisors (2057860872000).

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

761667840000 is an equidigital number, since it uses as much as digits as its factorization.

761667840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22090 (or 22049 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 761667840000 in words is "seven hundred sixty-one billion, six hundred sixty-seven million, eight hundred forty thousand".