939379680 has 288 divisors, whose sum is σ = 3419436384. Its totient is φ = 243357696.

The previous prime is 939379667. The next prime is 939379697. The reversal of 939379680 is 86973939.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1438234 + ... + 1438886.

It is an arithmetic number, because the mean of its divisors is an integer number (11873043).

Almost surely, 2^939379680 is an apocalyptic number.

939379680 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 939379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709718192).

939379680 is an abundant number, since it is smaller than the sum of its proper divisors (2480056704).

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

939379680 is a wasteful number, since it uses less digits than its factorization.

939379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 939379680 is about 30649.3014602291. The cubic root of 939379680 is about 979.3705801442.

The spelling of 939379680 in words is "nine hundred thirty-nine million, three hundred seventy-nine thousand, six hundred eighty".