87735280 has 20 divisors (see below), whose sum is σ = 203984712. Its totient is φ = 35094080.

The previous prime is 87735257. The next prime is 87735281. The reversal of 87735280 is 8253778.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87735281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548266 + ... + 548425.

Almost surely, 2^87735280 is an apocalyptic number.

87735280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87735280 is an abundant number, since it is smaller than the sum of its proper divisors (116249432).

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

87735280 is a wasteful number, since it uses less digits than its factorization.

87735280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096704 (or 1096698 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 87735280 is about 9366.7112691702. The cubic root of 87735280 is about 444.3495610413.

The spelling of 87735280 in words is "eighty-seven million, seven hundred thirty-five thousand, two hundred eighty".