876180480 has 352 divisors, whose sum is σ = 3324983040. Its totient is φ = 192675840.

The previous prime is 876180457. The next prime is 876180491. The reversal of 876180480 is 84081678.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3117940 + ... + 3118220.

Almost surely, 2^876180480 is an apocalyptic number.

876180480 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 876180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662491520).

876180480 is an abundant number, since it is smaller than the sum of its proper divisors (2448802560).

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

876180480 is a wasteful number, since it uses less digits than its factorization.

876180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 876180480 is about 29600.3459439244. The cubic root of 876180480 is about 956.8955270521.

The spelling of 876180480 in words is "eight hundred seventy-six million, one hundred eighty thousand, four hundred eighty".