785478240 has 216 divisors, whose sum is σ = 2830817808. Its totient is φ = 198305280.

The previous prime is 785478229. The next prime is 785478263. The reversal of 785478240 is 42874587.

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 35 ways as a sum of consecutive naturals, for example, 519085 + ... + 520595.

It is an arithmetic number, because the mean of its divisors is an integer number (13105638).

Almost surely, 2^785478240 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 785478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415408904).

785478240 is an abundant number, since it is smaller than the sum of its proper divisors (2045339568).

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

785478240 is a wasteful number, since it uses less digits than its factorization.

785478240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 785478240 is about 28026.3847115535. The cubic root of 785478240 is about 922.6664295313. Note that the first 3 decimals are identical.

The spelling of 785478240 in words is "seven hundred eighty-five million, four hundred seventy-eight thousand, two hundred forty".