80406480 has 320 divisors, whose sum is σ = 328550400. Its totient is φ = 15759360.

The previous prime is 80406449. The next prime is 80406523. The reversal of 80406480 is 8460408.

80406480 = 15² + 16² + ... + 622².

It is a super-3 number, since 3×80406480³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351006 + ... + 351234.

It is an arithmetic number, because the mean of its divisors is an integer number (1026720).

Almost surely, 2^80406480 is an apocalyptic number.

80406480 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 80406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164275200).

80406480 is an abundant number, since it is smaller than the sum of its proper divisors (248143920).

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

80406480 is a wasteful number, since it uses less digits than its factorization.

80406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 80406480 is about 8966.9660420903. The cubic root of 80406480 is about 431.6154843255.

Adding to 80406480 its reverse (8460408), we get a palindrome (88866888).

The spelling of 80406480 in words is "eighty million, four hundred six thousand, four hundred eighty".