76156416 has 160 divisors (see below), whose sum is σ = 257959680. Its totient is φ = 21731328.

The previous prime is 76156411. The next prime is 76156453. The reversal of 76156416 is 61465167.

76156416 is a `hidden beast` number, since 7 + 6 + 1 + 5 + 641 + 6 = 666.

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 (76156411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96375 + ... + 97161.

It is an arithmetic number, because the mean of its divisors is an integer number (1612248).

Almost surely, 2^76156416 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 76156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128979840).

76156416 is an abundant number, since it is smaller than the sum of its proper divisors (181803264).

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

76156416 is an equidigital number, since it uses as much as digits as its factorization.

76156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 799 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 76156416 is about 8726.7643488294. The cubic root of 76156416 is about 423.8727516570.

The spelling of 76156416 in words is "seventy-six million, one hundred fifty-six thousand, four hundred sixteen".