877894161920 has 320 divisors, whose sum is σ = 2214644414400. Its totient is φ = 333315440640.

The previous prime is 877894161899. The next prime is 877894161941. The reversal of 877894161920 is 29161498778.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (877894161899) and next prime (877894161941).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270468775 + ... + 1270469465.

It is an arithmetic number, because the mean of its divisors is an integer number (6920763795).

Almost surely, 2^877894161920 is an apocalyptic number.

877894161920 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 877894161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107322207200).

877894161920 is an abundant number, since it is smaller than the sum of its proper divisors (1336750252480).

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

877894161920 is a wasteful number, since it uses less digits than its factorization.

877894161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 62.

The spelling of 877894161920 in words is "eight hundred seventy-seven billion, eight hundred ninety-four million, one hundred sixty-one thousand, nine hundred twenty".