76971040 has 48 divisors (see below), whose sum is σ = 182552832. Its totient is φ = 30668544.

The previous prime is 76971031. The next prime is 76971061. The reversal of 76971040 is 4017967.

It is a junction number, because it is equal to n+sod(n) for n = 76970987 and 76971005.

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 7 ways as a sum of consecutive naturals, for example, 48337 + ... + 49903.

It is an arithmetic number, because the mean of its divisors is an integer number (3803184).

Almost surely, 2^76971040 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 76971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91276416).

76971040 is an abundant number, since it is smaller than the sum of its proper divisors (105581792).

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

76971040 is a wasteful number, since it uses less digits than its factorization.

76971040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 76971040 is about 8773.3140830589. The cubic root of 76971040 is about 425.3787442684.

The spelling of 76971040 in words is "seventy-six million, nine hundred seventy-one thousand, forty".