877493760 has 640 divisors, whose sum is σ = 3563771904. Its totient is φ = 180879360.

The previous prime is 877493753. The next prime is 877493761. The reversal of 877493760 is 67394778.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877493761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18670057 + ... + 18670103.

Almost surely, 2^877493760 is an apocalyptic number.

877493760 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 877493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781885952).

877493760 is an abundant number, since it is smaller than the sum of its proper divisors (2686278144).

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

877493760 is a wasteful number, since it uses less digits than its factorization.

877493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 877493760 is about 29622.5211621158. The cubic root of 877493760 is about 957.3733754887.

The spelling of 877493760 in words is "eight hundred seventy-seven million, four hundred ninety-three thousand, seven hundred sixty".