76923924480 has 1248 divisors, whose sum is σ = 315564500160. Its totient is φ = 17836277760.

The previous prime is 76923924449. The next prime is 76923924499. The reversal of 76923924480 is 8442932967.

76923924480 is a `hidden beast` number, since 76 + 9 + 2 + 3 + 92 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

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 95 ways as a sum of consecutive naturals, for example, 1876193260 + ... + 1876193300.

It is an arithmetic number, because the mean of its divisors is an integer number (252856170).

Almost surely, 2^76923924480 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 76923924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157782250080).

76923924480 is an abundant number, since it is smaller than the sum of its proper divisors (238640575680).

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

76923924480 is a wasteful number, since it uses less digits than its factorization.

76923924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 76923924480 in words is "seventy-six billion, nine hundred twenty-three million, nine hundred twenty-four thousand, four hundred eighty".