84779520 has 320 divisors, whose sum is σ = 329978880. Its totient is φ = 18137088.

The previous prime is 84779509. The next prime is 84779567. The reversal of 84779520 is 2597748.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×84779520² = 14375134022860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021399 + ... + 1021481.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^84779520 is an apocalyptic number.

84779520 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 84779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

84779520 is an abundant number, since it is smaller than the sum of its proper divisors (245199360).

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

84779520 is a wasteful number, since it uses less digits than its factorization.

84779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 84779520 is about 9207.5794864883. The cubic root of 84779520 is about 439.3024760797.

The spelling of 84779520 in words is "eighty-four million, seven hundred seventy-nine thousand, five hundred twenty".