87780480 has 128 divisors (see below), whose sum is σ = 282744000. Its totient is φ = 23162880.

The previous prime is 87780461. The next prime is 87780487. The reversal of 87780480 is 8408778.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (87780487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251346 + ... + 251694.

Almost surely, 2^87780480 is an apocalyptic number.

87780480 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 87780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141372000).

87780480 is an abundant number, since it is smaller than the sum of its proper divisors (194963520).

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

87780480 is a wasteful number, since it uses less digits than its factorization.

87780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 87780480 is about 9369.1237583885. The cubic root of 87780480 is about 444.4258555188.

The spelling of 87780480 in words is "eighty-seven million, seven hundred eighty thousand, four hundred eighty".