76221640 has 64 divisors (see below), whose sum is σ = 188205120. Its totient is φ = 27552000.

The previous prime is 76221637. The next prime is 76221667. The reversal of 76221640 is 4612267.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76221599 and 76221608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92430 + ... + 93250.

It is an arithmetic number, because the mean of its divisors is an integer number (2940705).

Almost surely, 2^76221640 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 76221640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94102560).

76221640 is an abundant number, since it is smaller than the sum of its proper divisors (111983480).

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

76221640 is a wasteful number, since it uses less digits than its factorization.

76221640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 76221640 is about 8730.5005583872. The cubic root of 76221640 is about 423.9937254322.

The spelling of 76221640 in words is "seventy-six million, two hundred twenty-one thousand, six hundred forty".