75868780120 has 32 divisors (see below), whose sum is σ = 195091149600. Its totient is φ = 26012153088.

The previous prime is 75868780081. The next prime is 75868780121. The reversal of 75868780120 is 2108786857.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75868780121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135479685 + ... + 135480244.

It is an arithmetic number, because the mean of its divisors is an integer number (6096598425).

Almost surely, 2^75868780120 is an apocalyptic number.

75868780120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75868780120 is an abundant number, since it is smaller than the sum of its proper divisors (119222369480).

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

75868780120 is a wasteful number, since it uses less digits than its factorization.

75868780120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270959947 (or 270959943 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 52.

The spelling of 75868780120 in words is "seventy-five billion, eight hundred sixty-eight million, seven hundred eighty thousand, one hundred twenty".