76954014720 has 528 divisors, whose sum is σ = 293039480448. Its totient is φ = 18517524480.

The previous prime is 76954014689. The next prime is 76954014811. The reversal of 76954014720 is 2741045967.

76954014720 is a `hidden beast` number, since 7 + 69 + 540 + 1 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79579677 + ... + 79580643.

It is an arithmetic number, because the mean of its divisors is an integer number (554999016).

Almost surely, 2^76954014720 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 76954014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146519740224).

76954014720 is an abundant number, since it is smaller than the sum of its proper divisors (216085465728).

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

76954014720 is a wasteful number, since it uses less digits than its factorization.

76954014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 76954014720 in words is "seventy-six billion, nine hundred fifty-four million, fourteen thousand, seven hundred twenty".