80408400 has 120 divisors (see below), whose sum is σ = 264682464. Its totient is φ = 20851200.

The previous prime is 80408371. The next prime is 80408429. The reversal of 80408400 is 480408.

It is an interprime number because it is at equal distance from previous prime (80408371) and next prime (80408429).

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 (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43495 + ... + 45305.

Almost surely, 2^80408400 is an apocalyptic number.

80408400 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 80408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132341232).

80408400 is an abundant number, since it is smaller than the sum of its proper divisors (184274064).

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

80408400 is a wasteful number, since it uses less digits than its factorization.

80408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 80408400 is about 8967.0731010737. The cubic root of 80408400 is about 431.6189197664.

Adding to 80408400 its reverse (480408), we get a palindrome (80888808).

It can be divided in two parts, 80408 and 400, that added together give a palindrome (80808).

The spelling of 80408400 in words is "eighty million, four hundred eight thousand, four hundred".