780414000 has 80 divisors (see below), whose sum is σ = 2516074080. Its totient is φ = 208108800.

The previous prime is 780413993. The next prime is 780414001. The reversal of 780414000 is 414087.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×780414000² = 1218092022792000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (780414001) 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 15 ways as a sum of consecutive naturals, for example, 59035 + ... + 71034.

It is an arithmetic number, because the mean of its divisors is an integer number (31450926).

Almost surely, 2^780414000 is an apocalyptic number.

It is an amenable number.

780414000 is an abundant number, since it is smaller than the sum of its proper divisors (1735660080).

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

780414000 is a wasteful number, since it uses less digits than its factorization.

780414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130095 (or 130079 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 780414000 is about 27935.8908932577. The cubic root of 780414000 is about 920.6792400416.

Adding to 780414000 its reverse (414087), we get a palindrome (780828087).

The spelling of 780414000 in words is "seven hundred eighty million, four hundred fourteen thousand".