877436064000 has 1008 divisors, whose sum is σ = 3392826156720. Its totient is φ = 225740390400.

The previous prime is 877436063983. The next prime is 877436064067. The reversal of 877436064000 is 460634778.

It can be written as a sum of positive squares in 8 ways, for example, as 44991500544 + 832444563456 = 212112^2 + 912384^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 676511352 + ... + 676512648.

It is an arithmetic number, because the mean of its divisors is an integer number (3365898965).

Almost surely, 2^877436064000 is an apocalyptic number.

877436064000 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 877436064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696413078360).

877436064000 is an abundant number, since it is smaller than the sum of its proper divisors (2515390092720).

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

877436064000 is an equidigital number, since it uses as much as digits as its factorization.

877436064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

Adding to 877436064000 its reverse (460634778), we get a palindrome (877896698778).

The spelling of 877436064000 in words is "eight hundred seventy-seven billion, four hundred thirty-six million, sixty-four thousand".