903379680 has 576 divisors, whose sum is σ = 3773952000. Its totient is φ = 196439040.

The previous prime is 903379669. The next prime is 903379703. The reversal of 903379680 is 86973309.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15311491 + ... + 15311549.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^903379680 is an apocalyptic number.

903379680 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 903379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976000).

903379680 is an abundant number, since it is smaller than the sum of its proper divisors (2870572320).

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

903379680 is a wasteful number, since it uses less digits than its factorization.

903379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 903379680 is about 30056.2752183300. The cubic root of 903379680 is about 966.6964102356.

The spelling of 903379680 in words is "nine hundred three million, three hundred seventy-nine thousand, six hundred eighty".