900480078 has 80 divisors (see below), whose sum is σ = 2074152960. Its totient is φ = 291891600.

The previous prime is 900480043. The next prime is 900480079. The reversal of 900480078 is 870084009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900480079) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 908163 + ... + 909153.

It is an arithmetic number, because the mean of its divisors is an integer number (25926912).

Almost surely, 2^900480078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900480078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037076480).

900480078 is an abundant number, since it is smaller than the sum of its proper divisors (1173672882).

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

900480078 is a wasteful number, since it uses less digits than its factorization.

900480078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 900480078 is about 30008.0002332711. Note that the first 3 decimals coincide. The cubic root of 900480078 is about 965.6610245397.

The spelling of 900480078 in words is "nine hundred million, four hundred eighty thousand, seventy-eight".