83290800 has 120 divisors (see below), whose sum is σ = 275537920. Its totient is φ = 21484800.

The previous prime is 83290793. The next prime is 83290807. The reversal of 83290800 is 809238.

It is an interprime number because it is at equal distance from previous prime (83290793) and next prime (83290807).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83290807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36081 + ... + 38319.

Almost surely, 2^83290800 is an apocalyptic number.

83290800 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 83290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137768960).

83290800 is an abundant number, since it is smaller than the sum of its proper divisors (192247120).

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

83290800 is a wasteful number, since it uses less digits than its factorization.

83290800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 83290800 is about 9126.3793478027. The cubic root of 83290800 is about 436.7159071433.

The spelling of 83290800 in words is "eighty-three million, two hundred ninety thousand, eight hundred".