76380480 has 168 divisors, whose sum is σ = 286719264. Its totient is φ = 18508800.

The previous prime is 76380463. The next prime is 76380503. The reversal of 76380480 is 8408367.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 30475 + ... + 32885.

Almost surely, 2^76380480 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 76380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143359632).

76380480 is an abundant number, since it is smaller than the sum of its proper divisors (210338784).

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

76380480 is a wasteful number, since it uses less digits than its factorization.

76380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2432 counting only the distinct ones).

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

The square root of 76380480 is about 8739.5926678536. The cubic root of 76380480 is about 424.2880444530.

The spelling of 76380480 in words is "seventy-six million, three hundred eighty thousand, four hundred eighty".