83250720 has 192 divisors, whose sum is σ = 333123840. Its totient is φ = 19021824.

The previous prime is 83250719. The next prime is 83250721. The reversal of 83250720 is 2705238.

It is an interprime number because it is at equal distance from previous prime (83250719) and next prime (83250721).

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

It is not an unprimeable number, because it can be changed into a prime (83250721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28864 + ... + 31616.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^83250720 is an apocalyptic number.

83250720 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 83250720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

83250720 is an abundant number, since it is smaller than the sum of its proper divisors (249873120).

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

83250720 is a wasteful number, since it uses less digits than its factorization.

83250720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 83250720 is about 9124.1832511190. The cubic root of 83250720 is about 436.6458458564.

Adding to 83250720 its reverse (2705238), we get a palindrome (85955958).

The spelling of 83250720 in words is "eighty-three million, two hundred fifty thousand, seven hundred twenty".