75797377920 has 768 divisors, whose sum is σ = 304746624000. Its totient is φ = 17166090240.

The previous prime is 75797377907. The next prime is 75797377921. The reversal of 75797377920 is 2977379757.

75797377920 is a `hidden beast` number, since 7 + 579 + 7 + 37 + 7 + 9 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75797377921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95102962 + ... + 95103758.

It is an arithmetic number, because the mean of its divisors is an integer number (396805500).

Almost surely, 2^75797377920 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 75797377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312000).

75797377920 is an abundant number, since it is smaller than the sum of its proper divisors (228949246080).

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

75797377920 is a wasteful number, since it uses less digits than its factorization.

75797377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 40841010, while the sum is 63.

The spelling of 75797377920 in words is "seventy-five billion, seven hundred ninety-seven million, three hundred seventy-seven thousand, nine hundred twenty".