102782880 has 144 divisors (see below), whose sum is σ = 353984904. Its totient is φ = 27156480.

The previous prime is 102782863. The next prime is 102782893. The reversal of 102782880 is 88287201.

It can be written as a sum of positive squares in 4 ways, for example, as 76527504 + 26255376 = 8748^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 197020 + ... + 197540.

Almost surely, 2^102782880 is an apocalyptic number.

102782880 is a gapful number since it is divisible by the number (10) 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 102782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176992452).

102782880 is an abundant number, since it is smaller than the sum of its proper divisors (251202024).

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

102782880 is a wasteful number, since it uses less digits than its factorization.

102782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 102782880 is about 10138.1891874240. The cubic root of 102782880 is about 468.4252107441.

The spelling of 102782880 in words is "one hundred two million, seven hundred eighty-two thousand, eight hundred eighty".