780435540 has 192 divisors, whose sum is σ = 2616606720. Its totient is φ = 192551040.

The previous prime is 780435521. The next prime is 780435569. The reversal of 780435540 is 45534087.

780435540 is a `hidden beast` number, since 7 + 80 + 4 + 35 + 540 = 666.

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 = 780435495 and 780435504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384007 + ... + 386033.

It is an arithmetic number, because the mean of its divisors is an integer number (13628160).

Almost surely, 2^780435540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780435540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308303360).

780435540 is an abundant number, since it is smaller than the sum of its proper divisors (1836171180).

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

780435540 is a wasteful number, since it uses less digits than its factorization.

780435540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 780435540 is about 27936.2764161583. The cubic root of 780435540 is about 920.6877104382.

The spelling of 780435540 in words is "seven hundred eighty million, four hundred thirty-five thousand, five hundred forty".