29782820340 has 1200 divisors, whose sum is σ = 127542750720. Its totient is φ = 5761082880.

The previous prime is 29782820311. The next prime is 29782820357. The reversal of 29782820340 is 4302828792.

29782820340 is a `hidden beast` number, since 29 + 7 + 8 + 282 + 0 + 340 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 960736125 + ... + 960736155.

Almost surely, 2^29782820340 is an apocalyptic number.

29782820340 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 29782820340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63771375360).

29782820340 is an abundant number, since it is smaller than the sum of its proper divisors (97759930380).

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

29782820340 is a wasteful number, since it uses less digits than its factorization.

29782820340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 29782820340 in words is "twenty-nine billion, seven hundred eighty-two million, eight hundred twenty thousand, three hundred forty".