876926400 has 168 divisors, whose sum is σ = 3288182400. Its totient is φ = 200432640.

The previous prime is 876926387. The next prime is 876926411. The reversal of 876926400 is 4629678.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×876926400² = 1537999822033920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20551 + ... + 46649.

Almost surely, 2^876926400 is an apocalyptic number.

876926400 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 876926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644091200).

876926400 is an abundant number, since it is smaller than the sum of its proper divisors (2411256000).

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

876926400 is a wasteful number, since it uses less digits than its factorization.

876926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26131 (or 26116 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 876926400 is about 29612.9431161443. The cubic root of 876926400 is about 957.1669951163.

The spelling of 876926400 in words is "eight hundred seventy-six million, nine hundred twenty-six thousand, four hundred".