76916160 has 168 divisors, whose sum is σ = 280300176. Its totient is φ = 19292160.

The previous prime is 76916141. The next prime is 76916167. The reversal of 76916160 is 6161967.

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 (76916167) by changing a digit.

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, 48175 + ... + 49745.

Almost surely, 2^76916160 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 76916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140150088).

76916160 is an abundant number, since it is smaller than the sum of its proper divisors (203384016).

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

76916160 is a wasteful number, since it uses less digits than its factorization.

76916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 76916160 is about 8770.1858589200. The cubic root of 76916160 is about 425.2776225309.

The spelling of 76916160 in words is "seventy-six million, nine hundred sixteen thousand, one hundred sixty".