76123146000 has 320 divisors, whose sum is σ = 279378118656. Its totient is φ = 17651392000.

The previous prime is 76123145957. The next prime is 76123146007. The reversal of 76123146000 is 64132167.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (76123146007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1492927 + ... + 1543073.

Almost surely, 2^76123146000 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 76123146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139689059328).

76123146000 is an abundant number, since it is smaller than the sum of its proper divisors (203254972656).

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

76123146000 is a wasteful number, since it uses less digits than its factorization.

76123146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50207 (or 50191 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 76123146000 its reverse (64132167), we get a palindrome (76187278167).

The spelling of 76123146000 in words is "seventy-six billion, one hundred twenty-three million, one hundred forty-six thousand".