107802000 has 240 divisors, whose sum is σ = 387015408. Its totient is φ = 27955200.

The previous prime is 107801987. The next prime is 107802001. The reversal of 107802000 is 208701.

It can be written as a sum of positive squares in 8 ways, for example, as 57335184 + 50466816 = 7572^2 + 7104^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (107802001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953944 + ... + 954056.

Almost surely, 2^107802000 is an apocalyptic number.

107802000 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 107802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193507704).

107802000 is an abundant number, since it is smaller than the sum of its proper divisors (279213408).

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

107802000 is a wasteful number, since it uses less digits than its factorization.

107802000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 107802000 is about 10382.7741957533. The cubic root of 107802000 is about 475.9291140352.

The spelling of 107802000 in words is "one hundred seven million, eight hundred two thousand".