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804076800000 = 21135541879
BaseRepresentation
bin10111011001101101011…
…01100100100000000000
32211212110111100122020020
423230312231210200000
5101133222130100000
61413215432213440
7112043526013215
oct13546655444000
92755414318206
10804076800000
112900094339a1
1210ba0383a280
135aa9377aa76
142acbb98bb0c
1515db1187ba0
hexbb36b64800

804076800000 has 288 divisors, whose sum is σ = 2679494126400. Its totient is φ = 214415360000.

The previous prime is 804076799957. The next prime is 804076800019. The reversal of 804076800000 is 8670408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19179061 + ... + 19220939.

It is an arithmetic number, because the mean of its divisors is an integer number (9303799050).

Almost surely, 2804076800000 is an apocalyptic number.

804076800000 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 804076800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339747063200).

804076800000 is an abundant number, since it is smaller than the sum of its proper divisors (1875417326400).

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

804076800000 is an frugal number, since it uses more digits than its factorization.

804076800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41929 (or 41889 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 804076800000 in words is "eight hundred four billion, seventy-six million, eight hundred thousand".