83380752 has 300 divisors, whose sum is σ = 305316396. Its totient is φ = 21772800.

The previous prime is 83380751. The next prime is 83380753. The reversal of 83380752 is 25708338.

It is an interprime number because it is at equal distance from previous prime (83380751) and next prime (83380753).

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 33593616 = 7056^2 + 5796^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83380751) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 825502 + ... + 825602.

Almost surely, 2^83380752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83380752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152658198).

83380752 is an abundant number, since it is smaller than the sum of its proper divisors (221935644).

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

83380752 is a wasteful number, since it uses less digits than its factorization.

83380752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83380752 is about 9131.3061497247. The cubic root of 83380752 is about 436.8730647007.

83380752 divided by its sum of digits (36) gives a palindrome (2316132).

The spelling of 83380752 in words is "eighty-three million, three hundred eighty thousand, seven hundred fifty-two".