75780900 has 288 divisors, whose sum is σ = 279982080. Its totient is φ = 17418240.

The previous prime is 75780877. The next prime is 75780907. The reversal of 75780900 is 908757.

75780900 = 48³ + 49³ + ... + 132³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75780907) 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, 596637 + ... + 596763.

It is an arithmetic number, because the mean of its divisors is an integer number (972160).

Almost surely, 2^75780900 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 75780900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

75780900 is an abundant number, since it is smaller than the sum of its proper divisors (204201180).

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

75780900 is a wasteful number, since it uses less digits than its factorization.

75780900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 75780900 is about 8705.2225703884. Note that the first 3 decimals coincide. The cubic root of 75780900 is about 423.1749188553.

The spelling of 75780900 in words is "seventy-five million, seven hundred eighty thousand, nine hundred".