76242085920 has 1344 divisors, whose sum is σ = 363152450304. Its totient is φ = 14601461760.

The previous prime is 76242085903. The next prime is 76242085943. The reversal of 76242085920 is 2958024267.

76242085920 is a `hidden beast` number, since 7 + 62 + 420 + 85 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 116756314 + ... + 116756966.

It is an arithmetic number, because the mean of its divisors is an integer number (270202716).

Almost surely, 2^76242085920 is an apocalyptic number.

76242085920 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 76242085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181576225152).

76242085920 is an abundant number, since it is smaller than the sum of its proper divisors (286910364384).

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

76242085920 is a wasteful number, since it uses less digits than its factorization.

76242085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 76242085920 in words is "seventy-six billion, two hundred forty-two million, eighty-five thousand, nine hundred twenty".