76271338260 has 288 divisors, whose sum is σ = 258862286592. Its totient is φ = 18739537920.

The previous prime is 76271338223. The next prime is 76271338291. The reversal of 76271338260 is 6283317267.

76271338260 is a `hidden beast` number, since 7 + 627 + 13 + 3 + 8 + 2 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56039980 + ... + 56041340.

It is an arithmetic number, because the mean of its divisors is an integer number (898827384).

Almost surely, 2^76271338260 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 76271338260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129431143296).

76271338260 is an abundant number, since it is smaller than the sum of its proper divisors (182590948332).

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

76271338260 is a wasteful number, since it uses less digits than its factorization.

76271338260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 76271338260 in words is "seventy-six billion, two hundred seventy-one million, three hundred thirty-eight thousand, two hundred sixty".