785239920 has 240 divisors, whose sum is σ = 2825152512. Its totient is φ = 202487040.

The previous prime is 785239919. The next prime is 785239921. The reversal of 785239920 is 29932587.

It is an interprime number because it is at equal distance from previous prime (785239919) and next prime (785239921).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785239921) 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, 601989 + ... + 603291.

Almost surely, 2^785239920 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 785239920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412576256).

785239920 is an abundant number, since it is smaller than the sum of its proper divisors (2039912592).

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

785239920 is a wasteful number, since it uses less digits than its factorization.

785239920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 785239920 is about 28022.1326811504. The cubic root of 785239920 is about 922.5731054498.

The spelling of 785239920 in words is "seven hundred eighty-five million, two hundred thirty-nine thousand, nine hundred twenty".