84808480 has 96 divisors (see below), whose sum is σ = 208447344. Its totient is φ = 32587776.

The previous prime is 84808463. The next prime is 84808481. The reversal of 84808480 is 8480848.

84808480 = T₄₉₁ + T₄₉₂ + ... + T₈₅₅.

It can be written as a sum of positive squares in 8 ways, for example, as 52591504 + 32216976 = 7252^2 + 5676^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84808481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618972 + ... + 619108.

Almost surely, 2^84808480 is an apocalyptic number.

84808480 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 84808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104223672).

84808480 is an abundant number, since it is smaller than the sum of its proper divisors (123638864).

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

84808480 is a wasteful number, since it uses less digits than its factorization.

84808480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 84808480 is about 9209.1519696441. The cubic root of 84808480 is about 439.3524911123.

84808480 divided by its sum of digits (40) gives a palindrome (2120212).

The spelling of 84808480 in words is "eighty-four million, eight hundred eight thousand, four hundred eighty".