76307616 has 384 divisors, whose sum is σ = 294174720. Its totient is φ = 18662400.

The previous prime is 76307603. The next prime is 76307633. The reversal of 76307616 is 61670367.

76307616 is a `hidden beast` number, since 7 + 6 + 30 + 7 + 616 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2062350 + ... + 2062386.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 2^76307616 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 76307616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

76307616 is an abundant number, since it is smaller than the sum of its proper divisors (217867104).

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

76307616 is a wasteful number, since it uses less digits than its factorization.

76307616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 76307616 is about 8735.4230578719. The cubic root of 76307616 is about 424.1530834440.

The spelling of 76307616 in words is "seventy-six million, three hundred seven thousand, six hundred sixteen".