782401560 has 64 divisors (see below), whose sum is σ = 2422932480. Its totient is φ = 201909120.

The previous prime is 782401549. The next prime is 782401567. The reversal of 782401560 is 65104287.

It is a super-2 number, since 2×782401560² = 1224304402180867200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782401567) 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, 101442 + ... + 108881.

It is an arithmetic number, because the mean of its divisors is an integer number (37858320).

Almost surely, 2^782401560 is an apocalyptic number.

It is an amenable number.

782401560 is an abundant number, since it is smaller than the sum of its proper divisors (1640530920).

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

782401560 is a wasteful number, since it uses less digits than its factorization.

782401560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210368 (or 210364 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 782401560 is about 27971.4418648735. The cubic root of 782401560 is about 921.4601733905.

It can be divided in two parts, 78240 and 1560, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 782401560 in words is "seven hundred eighty-two million, four hundred one thousand, five hundred sixty".