5377680 has 240 divisors, whose sum is σ = 22748544. Its totient is φ = 1105920.

The previous prime is 5377679. The next prime is 5377711. The reversal of 5377680 is 867735.

5377680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 55392 + ... + 55488.

Almost surely, 2^5377680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5377680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374272).

5377680 is an abundant number, since it is smaller than the sum of its proper divisors (17370864).

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

5377680 is a wasteful number, since it uses less digits than its factorization.

5377680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5377680 is about 2318.9825355099. The cubic root of 5377680 is about 175.1990116914.

The spelling of 5377680 in words is "five million, three hundred seventy-seven thousand, six hundred eighty".