780513552 has 360 divisors, whose sum is σ = 2799154176. Its totient is φ = 201180672.

The previous prime is 780513551. The next prime is 780513553. The reversal of 780513552 is 255315087.

It is an interprime number because it is at equal distance from previous prime (780513551) and next prime (780513553).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (780513551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6145713 + ... + 6145839.

Almost surely, 2^780513552 is an apocalyptic number.

780513552 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 780513552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399577088).

780513552 is an abundant number, since it is smaller than the sum of its proper divisors (2018640624).

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

780513552 is a wasteful number, since it uses less digits than its factorization.

780513552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 780513552 is about 27937.6726303391. The cubic root of 780513552 is about 920.7183865983.

The spelling of 780513552 in words is "seven hundred eighty million, five hundred thirteen thousand, five hundred fifty-two".