876634752 has 128 divisors (see below), whose sum is σ = 2688393600. Its totient is φ = 247910400.

The previous prime is 876634739. The next prime is 876634763. The reversal of 876634752 is 257436678.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269874 + ... + 273102.

It is an arithmetic number, because the mean of its divisors is an integer number (21003075).

Almost surely, 2^876634752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344196800).

876634752 is an abundant number, since it is smaller than the sum of its proper divisors (1811758848).

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

876634752 is a wasteful number, since it uses less digits than its factorization.

876634752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3342 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 876634752 is about 29608.0183734069. The cubic root of 876634752 is about 957.0608718838.

It can be divided in two parts, 876 and 634752, that added together give a triangular number (635628 = T₁₁₂₇).

The spelling of 876634752 in words is "eight hundred seventy-six million, six hundred thirty-four thousand, seven hundred fifty-two".