876062880 has 288 divisors, whose sum is σ = 3727721088. Its totient is φ = 182016000.

The previous prime is 876062879. The next prime is 876062881. The reversal of 876062880 is 88260678.

It is an interprime number because it is at equal distance from previous prime (876062879) and next prime (876062881).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876062881) 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 47 ways as a sum of consecutive naturals, for example, 106930 + ... + 114830.

It is an arithmetic number, because the mean of its divisors is an integer number (12943476).

Almost surely, 2^876062880 is an apocalyptic number.

876062880 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 876062880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863860544).

876062880 is an abundant number, since it is smaller than the sum of its proper divisors (2851658208).

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

876062880 is a wasteful number, since it uses less digits than its factorization.

876062880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 876062880 is about 29598.3594139946. The cubic root of 876062880 is about 956.8527139744.

The spelling of 876062880 in words is "eight hundred seventy-six million, sixty-two thousand, eight hundred eighty".