80600400 has 240 divisors, whose sum is σ = 304444800. Its totient is φ = 20183040.

The previous prime is 80600389. The next prime is 80600449. The reversal of 80600400 is 400608.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183381 + ... + 183819.

It is an arithmetic number, because the mean of its divisors is an integer number (1268520).

Almost surely, 2^80600400 is an apocalyptic number.

80600400 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 80600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152222400).

80600400 is an abundant number, since it is smaller than the sum of its proper divisors (223844400).

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

80600400 is a wasteful number, since it uses less digits than its factorization.

80600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 80600400 is about 8977.7725522537. The cubic root of 80600400 is about 431.9621880485.

The spelling of 80600400 in words is "eighty million, six hundred thousand, four hundred".