83404080 has 200 divisors, whose sum is σ = 295818864. Its totient is φ = 21772800.

The previous prime is 83404067. The next prime is 83404081. The reversal of 83404080 is 8040438.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83404081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 395175 + ... + 395385.

Almost surely, 2^83404080 is an apocalyptic number.

83404080 is a gapful number since it is divisible by the number (80) 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 83404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147909432).

83404080 is an abundant number, since it is smaller than the sum of its proper divisors (212414784).

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

83404080 is a wasteful number, since it uses less digits than its factorization.

83404080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 83404080 is about 9132.5834242015. The cubic root of 83404080 is about 436.9138032177.

The spelling of 83404080 in words is "eighty-three million, four hundred four thousand, eighty".