147676880 has 80 divisors (see below), whose sum is σ = 372632400. Its totient is φ = 54104064.

The previous prime is 147676831. The next prime is 147676889. The reversal of 147676880 is 88676741.

147676880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 37258816 + 110418064 = 6104^2 + 10508^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147676889) 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, 154484 + ... + 155436.

It is an arithmetic number, because the mean of its divisors is an integer number (4657905).

Almost surely, 2^147676880 is an apocalyptic number.

147676880 is a gapful number since it is divisible by the number (10) 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 147676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186316200).

147676880 is an abundant number, since it is smaller than the sum of its proper divisors (224955520).

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

147676880 is a wasteful number, since it uses less digits than its factorization.

147676880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The square root of 147676880 is about 12152.2376540290. The cubic root of 147676880 is about 528.5720193391.

The spelling of 147676880 in words is "one hundred forty-seven million, six hundred seventy-six thousand, eight hundred eighty".