892972080 has 960 divisors, whose sum is σ = 4274726400. Its totient is φ = 168376320.

The previous prime is 892971979. The next prime is 892972117. The reversal of 892972080 is 80279298.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15135091 + ... + 15135149.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^892972080 is an apocalyptic number.

892972080 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 892972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137363200).

892972080 is an abundant number, since it is smaller than the sum of its proper divisors (3381754320).

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

892972080 is a wasteful number, since it uses less digits than its factorization.

892972080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 892972080 is about 29882.6384377284. The cubic root of 892972080 is about 962.9697101332.

The spelling of 892972080 in words is "eight hundred ninety-two million, nine hundred seventy-two thousand, eighty".