76141331280 has 720 divisors, whose sum is σ = 319138859520. Its totient is φ = 16162578432.

The previous prime is 76141331269. The next prime is 76141331293. The reversal of 76141331280 is 8213314167.

It is a happy number.

76141331280 is a `hidden beast` number, since 7 + 6 + 1 + 41 + 331 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-4 number, since 4×76141331280⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47380237 + ... + 47381843.

It is an arithmetic number, because the mean of its divisors is an integer number (443248416).

Almost surely, 2^76141331280 is an apocalyptic number.

76141331280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76141331280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159569429760).

76141331280 is an abundant number, since it is smaller than the sum of its proper divisors (242997528240).

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

76141331280 is a wasteful number, since it uses less digits than its factorization.

76141331280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 761 and 41331280, that added together give a square (41332041 = 6429²).

The spelling of 76141331280 in words is "seventy-six billion, one hundred forty-one million, three hundred thirty-one thousand, two hundred eighty".