802876838400 has 1920 divisors, whose sum is σ = 3708137664000. Its totient is φ = 169073049600.

The previous prime is 802876838371. The next prime is 802876838411. The reversal of 802876838400 is 4838678208.

802876838400 is a `hidden beast` number, since 80 + 2 + 87 + 6 + 83 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×802876838400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 1541030140 + ... + 1541030660.

It is an arithmetic number, because the mean of its divisors is an integer number (1931321700).

Almost surely, 2^802876838400 is an apocalyptic number.

802876838400 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 802876838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854068832000).

802876838400 is an abundant number, since it is smaller than the sum of its proper divisors (2905260825600).

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

802876838400 is a wasteful number, since it uses less digits than its factorization.

802876838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 802876838400 in words is "eight hundred two billion, eight hundred seventy-six million, eight hundred thirty-eight thousand, four hundred".