29076880 has 80 divisors (see below), whose sum is σ = 78030720. Its totient is φ = 9870336.

The previous prime is 29076877. The next prime is 29076881. The reversal of 29076880 is 8867092.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (29076881) 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, 76531 + ... + 76909.

It is an arithmetic number, because the mean of its divisors is an integer number (975384).

Almost surely, 2^29076880 is an apocalyptic number.

29076880 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 29076880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39015360).

29076880 is an abundant number, since it is smaller than the sum of its proper divisors (48953840).

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

29076880 is a wasteful number, since it uses less digits than its factorization.

29076880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 29076880 is about 5392.2982113381. The cubic root of 29076880 is about 307.5029369363.

The spelling of 29076880 in words is "twenty-nine million, seventy-six thousand, eight hundred eighty".