76878144 has 168 divisors, whose sum is σ = 263103360. Its totient is φ = 20984832.

The previous prime is 76878133. The next prime is 76878163. The reversal of 76878144 is 44187867.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 76878144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92322 + ... + 93150.

Almost surely, 2^76878144 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 76878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131551680).

76878144 is an abundant number, since it is smaller than the sum of its proper divisors (186225216).

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

76878144 is a wasteful number, since it uses less digits than its factorization.

76878144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 864 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 76878144 is about 8768.0182481562. The cubic root of 76878144 is about 425.2075461498.

The spelling of 76878144 in words is "seventy-six million, eight hundred seventy-eight thousand, one hundred forty-four".