29778480 has 120 divisors (see below), whose sum is σ = 101846160. Its totient is φ = 7795200.

The previous prime is 29778443. The next prime is 29778487. The reversal of 29778480 is 8487792.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×29778480² = 1773515742220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29778487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42130 + ... + 42830.

It is an arithmetic number, because the mean of its divisors is an integer number (848718).

Almost surely, 2^29778480 is an apocalyptic number.

29778480 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 29778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50923080).

29778480 is an abundant number, since it is smaller than the sum of its proper divisors (72067680).

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

29778480 is a wasteful number, since it uses less digits than its factorization.

29778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 29778480 is about 5456.9661901097. The cubic root of 29778480 is about 309.9565669292.

The spelling of 29778480 in words is "twenty-nine million, seven hundred seventy-eight thousand, four hundred eighty".