781137552 has 80 divisors (see below), whose sum is σ = 2177860608. Its totient is φ = 239831040.

The previous prime is 781137551. The next prime is 781137601. The reversal of 781137552 is 255731187.

781137552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×781137552² = 1220351750289105408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 781137552.

It is not an unprimeable number, because it can be changed into a prime (781137551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368977 + ... + 371087.

Almost surely, 2^781137552 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 781137552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088930304).

781137552 is an abundant number, since it is smaller than the sum of its proper divisors (1396723056).

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

781137552 is a wasteful number, since it uses less digits than its factorization.

781137552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2722 counting only the distinct ones).

The product of its digits is 58800, while the sum is 39.

The square root of 781137552 is about 27948.8381153850. The cubic root of 781137552 is about 920.9636845960.

The spelling of 781137552 in words is "seven hundred eighty-one million, one hundred thirty-seven thousand, five hundred fifty-two".