27780480 has 384 divisors, whose sum is σ = 120294720. Its totient is φ = 5750784.

The previous prime is 27780479. The next prime is 27780491. The reversal of 27780480 is 8408772.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524134 + ... + 524186.

Almost surely, 2^27780480 is an apocalyptic number.

27780480 is a gapful number since it is divisible by the number (20) 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 27780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

27780480 is an abundant number, since it is smaller than the sum of its proper divisors (92514240).

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

27780480 is a wasteful number, since it uses less digits than its factorization.

27780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 27780480 is about 5270.7191160220. The cubic root of 27780480 is about 302.8632523476.

The spelling of 27780480 in words is "twenty-seven million, seven hundred eighty thousand, four hundred eighty".