29770880 has 64 divisors (see below), whose sum is σ = 71842680. Its totient is φ = 11796480.

The previous prime is 29770831. The next prime is 29770883. The reversal of 29770880 is 8807792.

It can be written as a sum of positive squares in 4 ways, for example, as 23580736 + 6190144 = 4856^2 + 2488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (29770883) 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, 115712 + ... + 115968.

Almost surely, 2^29770880 is an apocalyptic number.

29770880 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 29770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35921340).

29770880 is an abundant number, since it is smaller than the sum of its proper divisors (42071800).

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

29770880 is a wasteful number, since it uses less digits than its factorization.

29770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The square root of 29770880 is about 5456.2697880512. The cubic root of 29770880 is about 309.9301958682.

The spelling of 29770880 in words is "twenty-nine million, seven hundred seventy thousand, eight hundred eighty".