876695040 has 240 divisors, whose sum is σ = 3270915648. Its totient is φ = 215728128.

The previous prime is 876695023. The next prime is 876695047. The reversal of 876695040 is 40596678.

876695040 is a `hidden beast` number, since 87 + 6 + 69 + 504 + 0 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876695047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298057 + ... + 300983.

Almost surely, 2^876695040 is an apocalyptic number.

876695040 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 876695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635457824).

876695040 is an abundant number, since it is smaller than the sum of its proper divisors (2394220608).

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

876695040 is a wasteful number, since it uses less digits than its factorization.

876695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 876695040 is about 29609.0364584868. The cubic root of 876695040 is about 957.0828110715.

The spelling of 876695040 in words is "eight hundred seventy-six million, six hundred ninety-five thousand, forty".