76978176 has 192 divisors, whose sum is σ = 240589440. Its totient is φ = 21626880.

The previous prime is 76978169. The next prime is 76978189. The reversal of 76978176 is 67187967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148895 + ... + 1148961.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^76978176 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 76978176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

76978176 is an abundant number, since it is smaller than the sum of its proper divisors (163611264).

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

76978176 is a wasteful number, since it uses less digits than its factorization.

76978176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its digits is 889056, while the sum is 51.

The square root of 76978176 is about 8773.7207614558. The cubic root of 76978176 is about 425.3918895108.

The spelling of 76978176 in words is "seventy-six million, nine hundred seventy-eight thousand, one hundred seventy-six".