84773304 has 160 divisors (see below), whose sum is σ = 296208000. Its totient is φ = 22006080.

The previous prime is 84773267. The next prime is 84773309. The reversal of 84773304 is 40337748.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84773309) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49047 + ... + 50745.

It is an arithmetic number, because the mean of its divisors is an integer number (1851300).

Almost surely, 2^84773304 is an apocalyptic number.

84773304 is a gapful number since it is divisible by the number (84) 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 84773304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148104000).

84773304 is an abundant number, since it is smaller than the sum of its proper divisors (211434696).

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

84773304 is a wasteful number, since it uses less digits than its factorization.

84773304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 84773304 is about 9207.2419323052. The cubic root of 84773304 is about 439.2917393242.

Subtracting from 84773304 its reverse (40337748), we obtain a square (44435556 = 6666²).

It can be divided in two parts, 8477 and 3304, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 84773304 in words is "eighty-four million, seven hundred seventy-three thousand, three hundred four".