84787920 has 120 divisors (see below), whose sum is σ = 325443456. Its totient is φ = 19378944.

The previous prime is 84787919. The next prime is 84787931. The reversal of 84787920 is 2978748.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3372 + ... + 13451.

Almost surely, 2^84787920 is an apocalyptic number.

84787920 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 84787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162721728).

84787920 is an abundant number, since it is smaller than the sum of its proper divisors (240655536).

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

84787920 is a wasteful number, since it uses less digits than its factorization.

84787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16849 (or 16840 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 84787920 is about 9208.0356211301. The cubic root of 84787920 is about 439.3169843750.

The spelling of 84787920 in words is "eighty-four million, seven hundred eighty-seven thousand, nine hundred twenty".