48778160 has 40 divisors (see below), whose sum is σ = 114326016. Its totient is φ = 19353600.

The previous prime is 48778157. The next prime is 48778181. The reversal of 48778160 is 6187784.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×48778160⁴ (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7760 + ... + 12560.

Almost surely, 2^48778160 is an apocalyptic number.

48778160 is a gapful number since it is divisible by the number (40) 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 48778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57163008).

48778160 is an abundant number, since it is smaller than the sum of its proper divisors (65547856).

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

48778160 is a wasteful number, since it uses less digits than its factorization.

48778160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 48778160 is about 6984.1363102391. The cubic root of 48778160 is about 365.3775039684.

The spelling of 48778160 in words is "forty-eight million, seven hundred seventy-eight thousand, one hundred sixty".