76429393920 has 912 divisors, whose sum is σ = 314068884480. Its totient is φ = 16986931200.

The previous prime is 76429393891. The next prime is 76429393933. The reversal of 76429393920 is 2939392467.

It is a tau number, because it is divible by the number of its divisors (912).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2465464305 + ... + 2465464335.

Almost surely, 2^76429393920 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 76429393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157034442240).

76429393920 is an abundant number, since it is smaller than the sum of its proper divisors (237639490560).

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

76429393920 is a wasteful number, since it uses less digits than its factorization.

76429393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 76429393920 in words is "seventy-six billion, four hundred twenty-nine million, three hundred ninety-three thousand, nine hundred twenty".