76978944000 has 1536 divisors, whose sum is σ = 341794252800. Its totient is φ = 16721510400.

The previous prime is 76978943953. The next prime is 76978944001. The reversal of 76978944000 is 44987967.

It is a happy number.

76978944000 is a `hidden beast` number, since 76 + 97 + 89 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76978944001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1790207979 + ... + 1790208021.

It is an arithmetic number, because the mean of its divisors is an integer number (222522300).

Almost surely, 2^76978944000 is an apocalyptic number.

76978944000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76978944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170897126400).

76978944000 is an abundant number, since it is smaller than the sum of its proper divisors (264815308800).

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

76978944000 is a wasteful number, since it uses less digits than its factorization.

76978944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 76978944000 in words is "seventy-six billion, nine hundred seventy-eight million, nine hundred forty-four thousand".