76322040144 has 120 divisors (see below), whose sum is σ = 229544156448. Its totient is φ = 21788363520.

The previous prime is 76322040131. The next prime is 76322040149. The reversal of 76322040144 is 44104022367.

It is a super-3 number, since 3×76322040144³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76322040149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2990799 + ... + 3016209.

Almost surely, 2^76322040144 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 76322040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114772078224).

76322040144 is an abundant number, since it is smaller than the sum of its proper divisors (153222116304).

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

76322040144 is a wasteful number, since it uses less digits than its factorization.

76322040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26713 (or 26700 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 76322040144 in words is "seventy-six billion, three hundred twenty-two million, forty thousand, one hundred forty-four".