82454700 has 72 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 21857600.

The previous prime is 82454657. The next prime is 82454717. The reversal of 82454700 is 745428.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56581 + ... + 58019.

It is an arithmetic number, because the mean of its divisors is an integer number (3333120).

Almost surely, 2^82454700 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 82454700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

82454700 is an abundant number, since it is smaller than the sum of its proper divisors (157529940).

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

82454700 is a wasteful number, since it uses less digits than its factorization.

82454700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 82454700 is about 9080.4570369558. The cubic root of 82454700 is about 435.2496915015.

The spelling of 82454700 in words is "eighty-two million, four hundred fifty-four thousand, seven hundred".