80438400 has 576 divisors, whose sum is σ = 360468000. Its totient is φ = 17418240.

The previous prime is 80438359. The next prime is 80438411. The reversal of 80438400 is 483408.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4233591 + ... + 4233609.

Almost surely, 2^80438400 is an apocalyptic number.

80438400 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 80438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180234000).

80438400 is an abundant number, since it is smaller than the sum of its proper divisors (280029600).

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

80438400 is a wasteful number, since it uses less digits than its factorization.

80438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 80438400 is about 8968.7457317063. The cubic root of 80438400 is about 431.6725914291.

It can be divided in two parts, 804 and 38400, that added together give a square (39204 = 198²).

The spelling of 80438400 in words is "eighty million, four hundred thirty-eight thousand, four hundred".