780906000 has 160 divisors (see below), whose sum is σ = 2877458688. Its totient is φ = 178483200.

The previous prime is 780905981. The next prime is 780906011. The reversal of 780906000 is 609087.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32704 + ... + 51296.

Almost surely, 2^780906000 is an apocalyptic number.

780906000 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 780906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438729344).

780906000 is an abundant number, since it is smaller than the sum of its proper divisors (2096552688).

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

780906000 is a wasteful number, since it uses less digits than its factorization.

780906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18626 (or 18610 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 780906000 is about 27944.6953821293. The cubic root of 780906000 is about 920.8726754187.

The spelling of 780906000 in words is "seven hundred eighty million, nine hundred six thousand".