8376792000 has 224 divisors, whose sum is σ = 28338133824. Its totient is φ = 2179072000.

The previous prime is 8376791963. The next prime is 8376792019. The reversal of 8376792000 is 2976738.

It is a super-2 number, since 2×8376792000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979744 + ... + 988256.

It is an arithmetic number, because the mean of its divisors is an integer number (126509526).

Almost surely, 2^8376792000 is an apocalyptic number.

8376792000 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 8376792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169066912).

8376792000 is an abundant number, since it is smaller than the sum of its proper divisors (19961341824).

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

8376792000 is a wasteful number, since it uses less digits than its factorization.

8376792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8584 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 8376792000 is about 91524.8163068356. The cubic root of 8376792000 is about 2030.9188815690.

The spelling of 8376792000 in words is "eight billion, three hundred seventy-six million, seven hundred ninety-two thousand".