87077120 has 72 divisors (see below), whose sum is σ = 224664216. Its totient is φ = 32145408.

The previous prime is 87077117. The next prime is 87077129. The reversal of 87077120 is 2177078.

It can be written as a sum of positive squares in 4 ways, for example, as 14622976 + 72454144 = 3824^2 + 8512^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (87077129) 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, 14024 + ... + 19256.

Almost surely, 2^87077120 is an apocalyptic number.

87077120 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 87077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112332108).

87077120 is an abundant number, since it is smaller than the sum of its proper divisors (137587096).

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

87077120 is a wasteful number, since it uses less digits than its factorization.

87077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The square root of 87077120 is about 9331.5122032820. The cubic root of 87077120 is about 443.2356516217.

The spelling of 87077120 in words is "eighty-seven million, seventy-seven thousand, one hundred twenty".