83770400 has 108 divisors (see below), whose sum is σ = 238004298. Its totient is φ = 28707840.

The previous prime is 83770399. The next prime is 83770409. The reversal of 83770400 is 407738.

It can be written as a sum of positive squares in 3 ways, for example, as 38987536 + 44782864 = 6244^2 + 6692^2 .

It is not an unprimeable number, because it can be changed into a prime (83770409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38132 + ... + 40268.

Almost surely, 2^83770400 is an apocalyptic number.

83770400 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 83770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119002149).

83770400 is an abundant number, since it is smaller than the sum of its proper divisors (154233898).

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

83770400 is a wasteful number, since it uses less digits than its factorization.

83770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 83770400 is about 9152.6171120614. The cubic root of 83770400 is about 437.5525270266.

The spelling of 83770400 in words is "eighty-three million, seven hundred seventy thousand, four hundred".