92800080 has 100 divisors (see below), whose sum is σ = 322330932. Its totient is φ = 24744960.

The previous prime is 92800067. The next prime is 92800109. The reversal of 92800080 is 8000829.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 80353296 = 3528^2 + 8964^2 .

It is a super-2 number, since 2×92800080² = 17223709696012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 681 + ... + 13640.

Almost surely, 2^92800080 is an apocalyptic number.

92800080 is a gapful number since it is divisible by the number (90) 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 92800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161165466).

92800080 is an abundant number, since it is smaller than the sum of its proper divisors (229530852).

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

92800080 is a wasteful number, since it uses less digits than its factorization.

92800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14346 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 92800080 is about 9633.2798153069. The cubic root of 92800080 is about 452.7406084830.

The spelling of 92800080 in words is "ninety-two million, eight hundred thousand, eighty".