76271040 has 168 divisors, whose sum is σ = 266748768. Its totient is φ = 19998720.

The previous prime is 76271033. The next prime is 76271089. The reversal of 76271040 is 4017267.

It is a junction number, because it is equal to n+sod(n) for n = 76270995 and 76271013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204294 + ... + 204666.

Almost surely, 2^76271040 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 76271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133374384).

76271040 is an abundant number, since it is smaller than the sum of its proper divisors (190477728).

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

76271040 is a wasteful number, since it uses less digits than its factorization.

76271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 76271040 is about 8733.3292620856. The cubic root of 76271040 is about 424.0853038288.

The spelling of 76271040 in words is "seventy-six million, two hundred seventy-one thousand, forty".