84277920 has 96 divisors (see below), whose sum is σ = 279478080. Its totient is φ = 21288960.

The previous prime is 84277877. The next prime is 84277943. The reversal of 84277920 is 2977248.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4500 + ... + 13740.

It is an arithmetic number, because the mean of its divisors is an integer number (2911230).

Almost surely, 2^84277920 is an apocalyptic number.

84277920 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 84277920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139739040).

84277920 is an abundant number, since it is smaller than the sum of its proper divisors (195200160).

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

84277920 is a wasteful number, since it uses less digits than its factorization.

84277920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9278 (or 9270 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 84277920 is about 9180.3006486716. The cubic root of 84277920 is about 438.4343806841.

The spelling of 84277920 in words is "eighty-four million, two hundred seventy-seven thousand, nine hundred twenty".