48079680 has 224 divisors, whose sum is σ = 173370240. Its totient is φ = 11182080.

The previous prime is 48079673. The next prime is 48079727. The reversal of 48079680 is 8697084.

It is a happy number.

It is a super-3 number, since 3×48079680³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306162 + ... + 306318.

Almost surely, 2^48079680 is an apocalyptic number.

48079680 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 48079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86685120).

48079680 is an abundant number, since it is smaller than the sum of its proper divisors (125290560).

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

48079680 is a wasteful number, since it uses less digits than its factorization.

48079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 48079680 is about 6933.9512545157. The cubic root of 48079680 is about 363.6251020755.

The spelling of 48079680 in words is "forty-eight million, seventy-nine thousand, six hundred eighty".