83070000 has 300 divisors, whose sum is σ = 317260944. Its totient is φ = 20160000.

The previous prime is 83069993. The next prime is 83070011. The reversal of 83070000 is 7038.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1169965 + ... + 1170035.

Almost surely, 2^83070000 is an apocalyptic number.

83070000 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 83070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630472).

83070000 is an abundant number, since it is smaller than the sum of its proper divisors (234190944).

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

83070000 is a wasteful number, since it uses less digits than its factorization.

83070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 83070000 is about 9114.2745185780. The cubic root of 83070000 is about 436.3296611805.

Adding to 83070000 its reverse (7038), we get a palindrome (83077038).

The spelling of 83070000 in words is "eighty-three million, seventy thousand".