29078080 has 56 divisors (see below), whose sum is σ = 70088760. Its totient is φ = 11489280.

The previous prime is 29078057. The next prime is 29078081. The reversal of 29078080 is 8087092.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 27962944 = 1056^2 + 5288^2 .

It is not an unprimeable number, because it can be changed into a prime (29078081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27970 + ... + 28990.

It is an arithmetic number, because the mean of its divisors is an integer number (1251585).

Almost surely, 2^29078080 is an apocalyptic number.

29078080 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 29078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35044380).

29078080 is an abundant number, since it is smaller than the sum of its proper divisors (41010680).

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

29078080 is a wasteful number, since it uses less digits than its factorization.

29078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 29078080 is about 5392.4094800006. The cubic root of 29078080 is about 307.5071670835.

The spelling of 29078080 in words is "twenty-nine million, seventy-eight thousand, eighty".