75625777920 has 576 divisors, whose sum is σ = 302624501760. Its totient is φ = 15636480000.

The previous prime is 75625777883. The next prime is 75625777951. The reversal of 75625777920 is 2977752657.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74215171 + ... + 74216189.

It is an arithmetic number, because the mean of its divisors is an integer number (525389760).

Almost surely, 2^75625777920 is an apocalyptic number.

75625777920 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 75625777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151312250880).

75625777920 is an abundant number, since it is smaller than the sum of its proper divisors (226998723840).

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

75625777920 is a wasteful number, since it uses less digits than its factorization.

75625777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 12965400, while the sum is 57.

The spelling of 75625777920 in words is "seventy-five billion, six hundred twenty-five million, seven hundred seventy-seven thousand, nine hundred twenty".