786472960 has 224 divisors, whose sum is σ = 2333987712. Its totient is φ = 247726080.

The previous prime is 786472933. The next prime is 786472969. The reversal of 786472960 is 69274687.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×786472960² = 1237079433622323200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786472969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3727255 + ... + 3727465.

It is an arithmetic number, because the mean of its divisors is an integer number (10419588).

Almost surely, 2^786472960 is an apocalyptic number.

786472960 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 786472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166993856).

786472960 is an abundant number, since it is smaller than the sum of its proper divisors (1547514752).

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

786472960 is a wasteful number, since it uses less digits than its factorization.

786472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 786472960 is about 28044.1252314990. The cubic root of 786472960 is about 923.0557497138.

The spelling of 786472960 in words is "seven hundred eighty-six million, four hundred seventy-two thousand, nine hundred sixty".