890040780 has 144 divisors (see below), whose sum is σ = 2872920960. Its totient is φ = 222265344.

The previous prime is 890040743. The next prime is 890040793. The reversal of 890040780 is 87040098.

890040780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 730732 + ... + 731948.

It is an arithmetic number, because the mean of its divisors is an integer number (19950840).

Almost surely, 2^890040780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890040780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436460480).

890040780 is an abundant number, since it is smaller than the sum of its proper divisors (1982880180).

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

890040780 is a wasteful number, since it uses less digits than its factorization.

890040780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1483 counting only the distinct ones).

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

The square root of 890040780 is about 29833.5512468764. The cubic root of 890040780 is about 961.9148628773.

The spelling of 890040780 in words is "eight hundred ninety million, forty thousand, seven hundred eighty".