780575040 has 336 divisors, whose sum is σ = 3169920000. Its totient is φ = 172523520.

The previous prime is 780575027. The next prime is 780575041. The reversal of 780575040 is 40575087.

780575040 is a `hidden beast` number, since 7 + 80 + 575 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 780574986 and 780575004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780575041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624336 + ... + 625584.

Almost surely, 2^780575040 is an apocalyptic number.

780575040 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 780575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584960000).

780575040 is an abundant number, since it is smaller than the sum of its proper divisors (2389344960).

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

780575040 is a wasteful number, since it uses less digits than its factorization.

780575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 780575040 is about 27938.7730582429. The cubic root of 780575040 is about 920.7425636910.

The spelling of 780575040 in words is "seven hundred eighty million, five hundred seventy-five thousand, forty".