785867040 has 288 divisors, whose sum is σ = 3124832256. Its totient is φ = 176117760.

The previous prime is 785867023. The next prime is 785867051. The reversal of 785867040 is 40768587.

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

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

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, 533505 + ... + 534975.

It is an arithmetic number, because the mean of its divisors is an integer number (10850112).

Almost surely, 2^785867040 is an apocalyptic number.

785867040 is a gapful number since it is divisible by the number (70) 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 785867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562416128).

785867040 is an abundant number, since it is smaller than the sum of its proper divisors (2338965216).

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

785867040 is a wasteful number, since it uses less digits than its factorization.

785867040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 785867040 is about 28033.3201743925. The cubic root of 785867040 is about 922.8186397886.

The spelling of 785867040 in words is "seven hundred eighty-five million, eight hundred sixty-seven thousand, forty".