876148416 has 252 divisors, whose sum is σ = 2975788816. Its totient is φ = 244823040.

The previous prime is 876148369. The next prime is 876148417. The reversal of 876148416 is 614841678.

It is a super-4 number, since 4×876148416⁴ (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (876148417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 905565 + ... + 906531.

Almost surely, 2^876148416 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 876148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487894408).

876148416 is an abundant number, since it is smaller than the sum of its proper divisors (2099640400).

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

876148416 is a wasteful number, since it uses less digits than its factorization.

876148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 996 counting only the distinct ones).

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

The square root of 876148416 is about 29599.8043236775. The cubic root of 876148416 is about 956.8838543152.

The spelling of 876148416 in words is "eight hundred seventy-six million, one hundred forty-eight thousand, four hundred sixteen".