76766859000 has 768 divisors, whose sum is σ = 305270784000. Its totient is φ = 17887910400.

The previous prime is 76766858957. The next prime is 76766859041. The reversal of 76766859000 is 95866767.

It is a happy number.

It is a super-3 number, since 3×76766859000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60020361 + ... + 60021639.

It is an arithmetic number, because the mean of its divisors is an integer number (397488000).

Almost surely, 2^76766859000 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 76766859000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152635392000).

76766859000 is an abundant number, since it is smaller than the sum of its proper divisors (228503925000).

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

76766859000 is a wasteful number, since it uses less digits than its factorization.

76766859000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 76766859000 in words is "seventy-six billion, seven hundred sixty-six million, eight hundred fifty-nine thousand".