76123260000 has 480 divisors, whose sum is σ = 287069983200. Its totient is φ = 19595520000.

The previous prime is 76123259981. The next prime is 76123260041. The reversal of 76123260000 is 6232167.

It is a happy number.

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 (27).

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, 15657570 + ... + 15662430.

It is an arithmetic number, because the mean of its divisors is an integer number (598062465).

Almost surely, 2^76123260000 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 76123260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143534991600).

76123260000 is an abundant number, since it is smaller than the sum of its proper divisors (210946723200).

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

76123260000 is a wasteful number, since it uses less digits than its factorization.

76123260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 76123260000 its reverse (6232167), we get a palindrome (76129492167).

The spelling of 76123260000 in words is "seventy-six billion, one hundred twenty-three million, two hundred sixty thousand".