80007408 has 120 divisors (see below), whose sum is σ = 244637120. Its totient is φ = 24261120.

The previous prime is 80007407. The next prime is 80007419. The reversal of 80007408 is 80470008.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80007407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147618 + ... + 148158.

Almost surely, 2^80007408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80007408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122318560).

80007408 is an abundant number, since it is smaller than the sum of its proper divisors (164629712).

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

80007408 is a wasteful number, since it uses less digits than its factorization.

80007408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 80007408 is about 8944.6860202022. The cubic root of 80007408 is about 430.9002376394.

The spelling of 80007408 in words is "eighty million, seven thousand, four hundred eight".