95780520 has 288 divisors, whose sum is σ = 363748320. Its totient is φ = 21669120.

The previous prime is 95780513. The next prime is 95780521. The reversal of 95780520 is 2508759.

95780520 is a `hidden beast` number, since 9 + 57 + 80 + 520 = 666.

It is a super-2 number, since 2×95780520² = 18347816022940800, which contains 22 as substring.

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 (95780521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1429527 + ... + 1429593.

It is an arithmetic number, because the mean of its divisors is an integer number (1263015).

Almost surely, 2^95780520 is an apocalyptic number.

95780520 is a gapful number since it is divisible by the number (90) 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 95780520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181874160).

95780520 is an abundant number, since it is smaller than the sum of its proper divisors (267967800).

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

95780520 is a wasteful number, since it uses less digits than its factorization.

95780520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 95780520 is about 9786.7522702886. The cubic root of 95780520 is about 457.5364836980.

The spelling of 95780520 in words is "ninety-five million, seven hundred eighty thousand, five hundred twenty".