83780406 has 40 divisors (see below), whose sum is σ = 189590544. Its totient is φ = 27650160.

The previous prime is 83780401. The next prime is 83780407. The reversal of 83780406 is 60408738.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83780401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14176 + ... + 19196.

Almost surely, 2^83780406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83780406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94795272).

83780406 is an abundant number, since it is smaller than the sum of its proper divisors (105810138).

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

83780406 is a wasteful number, since it uses less digits than its factorization.

83780406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83780406 is about 9153.1637153500. The cubic root of 83780406 is about 437.5699475645.

The spelling of 83780406 in words is "eighty-three million, seven hundred eighty thousand, four hundred six".