877393920 has 240 divisors, whose sum is σ = 3040881480. Its totient is φ = 215973888.

The previous prime is 877393889. The next prime is 877393921. The reversal of 877393920 is 29393778.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 877393920.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1352 × 520 × 1248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877393921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67491834 + ... + 67491846.

Almost surely, 2^877393920 is an apocalyptic number.

877393920 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 877393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520440740).

877393920 is an abundant number, since it is smaller than the sum of its proper divisors (2163487560).

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

877393920 is an frugal number, since it uses more digits than its factorization.

877393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 877393920 is about 29620.8359098794. The cubic root of 877393920 is about 957.3370645817.

The spelling of 877393920 in words is "eight hundred seventy-seven million, three hundred ninety-three thousand, nine hundred twenty".