76308480 has 280 divisors, whose sum is σ = 285457392. Its totient is φ = 19464192.

The previous prime is 76308469. The next prime is 76308481. The reversal of 76308480 is 8480367.

It is a super-3 number, since 3×76308480³ (a number of 25 digits) contains 333 as substring.

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 (76308481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317749 + ... + 3317771.

Almost surely, 2^76308480 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 76308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142728696).

76308480 is an abundant number, since it is smaller than the sum of its proper divisors (209148912).

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

76308480 is an equidigital number, since it uses as much as digits as its factorization.

76308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

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

The square root of 76308480 is about 8735.4725115474. The cubic root of 76308480 is about 424.1546842754.

It can be divided in two parts, 7630 and 8480, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 76308480 in words is "seventy-six million, three hundred eight thousand, four hundred eighty".