76878008064 has 864 divisors, whose sum is σ = 278653777920. Its totient is φ = 20702822400.

The previous prime is 76878008059. The next prime is 76878008083. The reversal of 76878008064 is 46080087867.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 76878008064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398331552 + ... + 398331744.

Almost surely, 2^76878008064 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 76878008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139326888960).

76878008064 is an abundant number, since it is smaller than the sum of its proper divisors (201775769856).

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

76878008064 is a wasteful number, since it uses less digits than its factorization.

76878008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 76878008064 in words is "seventy-six billion, eight hundred seventy-eight million, eight thousand, sixty-four".