781079040 has 480 divisors, whose sum is σ = 3217294080. Its totient is φ = 171343872.

The previous prime is 781079003. The next prime is 781079051. The reversal of 781079040 is 40970187.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×781079040² = 1220168933454643200, which contains 22 as substring.

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 = 781078986 and 781079004.

It is an unprimeable number.

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, 4677037 + ... + 4677203.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^781079040 is an apocalyptic number.

781079040 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 781079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040).

781079040 is an abundant number, since it is smaller than the sum of its proper divisors (2436215040).

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

781079040 is a wasteful number, since it uses less digits than its factorization.

781079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 781079040 is about 27947.7913259706. The cubic root of 781079040 is about 920.9406887431.

The spelling of 781079040 in words is "seven hundred eighty-one million, seventy-nine thousand, forty".