76200480 has 192 divisors, whose sum is σ = 275788800. Its totient is φ = 19630080.

The previous prime is 76200463. The next prime is 76200493. The reversal of 76200480 is 8400267.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133636 + ... + 134204.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^76200480 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 76200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

76200480 is an abundant number, since it is smaller than the sum of its proper divisors (199588320).

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

76200480 is a wasteful number, since it uses less digits than its factorization.

76200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 76200480 is about 8729.2886308106. The cubic root of 76200480 is about 423.9544866300.

The spelling of 76200480 in words is "seventy-six million, two hundred thousand, four hundred eighty".