781660152 has 576 divisors, whose sum is σ = 3004128000. Its totient is φ = 186810624.

The previous prime is 781660151. The next prime is 781660157. The reversal of 781660152 is 251066187.

It is a super-2 number, since 2×781660152² = 1221985186449326208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (781660151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33985213 + ... + 33985235.

It is an arithmetic number, because the mean of its divisors is an integer number (5215500).

Almost surely, 2^781660152 is an apocalyptic number.

781660152 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 781660152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502064000).

781660152 is an abundant number, since it is smaller than the sum of its proper divisors (2222467848).

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

781660152 is a wasteful number, since it uses less digits than its factorization.

781660152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 781660152 is about 27958.1857780508. The cubic root of 781660152 is about 921.1690211710.

The spelling of 781660152 in words is "seven hundred eighty-one million, six hundred sixty thousand, one hundred fifty-two".