87753120 has 384 divisors, whose sum is σ = 355622400. Its totient is φ = 18063360.

The previous prime is 87753091. The next prime is 87753131. The reversal of 87753120 is 2135778.

It is a super-2 number, since 2×87753120² = 15401220139468800, which contains 22 as substring.

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, 2140300 + ... + 2140340.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 2^87753120 is an apocalyptic number.

87753120 is a gapful number since it is divisible by the number (80) 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 87753120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

87753120 is an abundant number, since it is smaller than the sum of its proper divisors (267869280).

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

87753120 is a wasteful number, since it uses less digits than its factorization.

87753120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 87753120 is about 9367.6635293973. The cubic root of 87753120 is about 444.3796768584.

Adding to 87753120 its reverse (2135778), we get a palindrome (89888898).

The spelling of 87753120 in words is "eighty-seven million, seven hundred fifty-three thousand, one hundred twenty".