780700032 has 320 divisors, whose sum is σ = 2748810240. Its totient is φ = 215239680.

The previous prime is 780700009. The next prime is 780700057. The reversal of 780700032 is 230007087.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 780699969 and 780700005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249683 + ... + 2250029.

It is an arithmetic number, because the mean of its divisors is an integer number (8590032).

Almost surely, 2^780700032 is an apocalyptic number.

780700032 is a gapful number since it is divisible by the number (72) 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 780700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374405120).

780700032 is an abundant number, since it is smaller than the sum of its proper divisors (1968110208).

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

780700032 is a wasteful number, since it uses less digits than its factorization.

780700032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 780700032 is about 27941.0098600605. The cubic root of 780700032 is about 920.7917066546.

The spelling of 780700032 in words is "seven hundred eighty million, seven hundred thousand, thirty-two".