84620800 has 120 divisors (see below), whose sum is σ = 229094712. Its totient is φ = 30720000.

The previous prime is 84620777. The next prime is 84620801. The reversal of 84620800 is 802648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84620801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140500 + ... + 141100.

Almost surely, 2^84620800 is an apocalyptic number.

84620800 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 84620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114547356).

84620800 is an abundant number, since it is smaller than the sum of its proper divisors (144473912).

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

84620800 is a wasteful number, since it uses less digits than its factorization.

84620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 84620800 is about 9198.9564625560. The cubic root of 84620800 is about 439.0281580727.

It can be divided in two parts, 8 and 4620800, that multiplied together give a square (36966400 = 6080²).

The spelling of 84620800 in words is "eighty-four million, six hundred twenty thousand, eight hundred".