838080000 has 400 divisors, whose sum is σ = 3131934960. Its totient is φ = 221184000.

The previous prime is 838079993. The next prime is 838080017. The reversal of 838080000 is 80838.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 8639952 + ... + 8640048.

Almost surely, 2^838080000 is an apocalyptic number.

838080000 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 838080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565967480).

838080000 is an abundant number, since it is smaller than the sum of its proper divisors (2293854960).

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

838080000 is an frugal number, since it uses more digits than its factorization.

838080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 838080000 is about 28949.6113963556. The cubic root of 838080000 is about 942.8193609418.

The spelling of 838080000 in words is "eight hundred thirty-eight million, eighty thousand".