87713280 has 280 divisors, whose sum is σ = 322024032. Its totient is φ = 22892544.

The previous prime is 87713267. The next prime is 87713287. The reversal of 87713280 is 8231778.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87713287) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1866217 + ... + 1866263.

Almost surely, 2^87713280 is an apocalyptic number.

87713280 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 87713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161012016).

87713280 is an abundant number, since it is smaller than the sum of its proper divisors (234310752).

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

87713280 is an frugal number, since it uses more digits than its factorization.

87713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 87713280 is about 9365.5368239092. The cubic root of 87713280 is about 444.3124170799.

The spelling of 87713280 in words is "eighty-seven million, seven hundred thirteen thousand, two hundred eighty".