876461040 has 600 divisors, whose sum is σ = 3813617520. Its totient is φ = 184923648.

The previous prime is 876461017. The next prime is 876461063. The reversal of 876461040 is 40164678.

876461040 is a `hidden beast` number, since 8 + 7 + 646 + 1 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (876461017) and next prime (876461063).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 876460986 and 876461004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67420074 + ... + 67420086.

Almost surely, 2^876461040 is an apocalyptic number.

876461040 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 876461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906808760).

876461040 is an abundant number, since it is smaller than the sum of its proper divisors (2937156480).

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

876461040 is a wasteful number, since it uses less digits than its factorization.

876461040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 876461040 is about 29605.0846984095. The cubic root of 876461040 is about 956.9976513538.

The spelling of 876461040 in words is "eight hundred seventy-six million, four hundred sixty-one thousand, forty".