76614480 has 120 divisors (see below), whose sum is σ = 260186472. Its totient is φ = 20201472.

The previous prime is 76614463. The next prime is 76614481. The reversal of 76614480 is 8441667.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 74028816 = 1608^2 + 8604^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76614481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69292 + ... + 70388.

Almost surely, 2^76614480 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 76614480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130093236).

76614480 is an abundant number, since it is smaller than the sum of its proper divisors (183571992).

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

76614480 is a wasteful number, since it uses less digits than its factorization.

76614480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76614480 is about 8752.9697817369. The cubic root of 76614480 is about 424.7208870941.

The spelling of 76614480 in words is "seventy-six million, six hundred fourteen thousand, four hundred eighty".