787200552 has 128 divisors (see below), whose sum is σ = 2330496000. Its totient is φ = 245488320.

The previous prime is 787200551. The next prime is 787200559. The reversal of 787200552 is 255002787.

787200552 is a `hidden beast` number, since 7 + 87 + 20 + 0 + 552 = 666.

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 (787200551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339477 + ... + 341787.

It is an arithmetic number, because the mean of its divisors is an integer number (18207000).

Almost surely, 2^787200552 is an apocalyptic number.

787200552 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 787200552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165248000).

787200552 is an abundant number, since it is smaller than the sum of its proper divisors (1543295448).

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

787200552 is a wasteful number, since it uses less digits than its factorization.

787200552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 787200552 is about 28057.0945038862. The cubic root of 787200552 is about 923.3403117228.

The spelling of 787200552 in words is "seven hundred eighty-seven million, two hundred thousand, five hundred fifty-two".