76468320 has 192 divisors, whose sum is σ = 276756480. Its totient is φ = 19699200.

The previous prime is 76468313. The next prime is 76468387. The reversal of 76468320 is 2386467.

76468320 is a `hidden beast` number, since 7 + 646 + 8 + 3 + 2 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133635 + ... + 134205.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^76468320 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 76468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

76468320 is an abundant number, since it is smaller than the sum of its proper divisors (200288160).

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

76468320 is a wasteful number, since it uses less digits than its factorization.

76468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76468320 is about 8744.6166296757. The cubic root of 76468320 is about 424.4506304258.

The spelling of 76468320 in words is "seventy-six million, four hundred sixty-eight thousand, three hundred twenty".