76874640 has 160 divisors (see below), whose sum is σ = 249091200. Its totient is φ = 19599360.

The previous prime is 76874597. The next prime is 76874647. The reversal of 76874640 is 4647867.

It is a junction number, because it is equal to n+sod(n) for n = 76874592 and 76874601.

It is not an unprimeable number, because it can be changed into a prime (76874647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863716 + ... + 863804.

It is an arithmetic number, because the mean of its divisors is an integer number (1556820).

Almost surely, 2^76874640 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 76874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124545600).

76874640 is an abundant number, since it is smaller than the sum of its proper divisors (172216560).

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

76874640 is a wasteful number, since it uses less digits than its factorization.

76874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 76874640 is about 8767.8184287769. The cubic root of 76874640 is about 425.2010859267.

The spelling of 76874640 in words is "seventy-six million, eight hundred seventy-four thousand, six hundred forty".