787532640 has 96 divisors (see below), whose sum is σ = 2493874656. Its totient is φ = 208896000.

The previous prime is 787532597. The next prime is 787532663. The reversal of 787532640 is 46235787.

787532640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 787532592 and 787532601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88390 + ... + 96890.

It is an arithmetic number, because the mean of its divisors is an integer number (25977861).

Almost surely, 2^787532640 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 787532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246937328).

787532640 is an abundant number, since it is smaller than the sum of its proper divisors (1706342016).

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

787532640 is a wasteful number, since it uses less digits than its factorization.

787532640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 787532640 is about 28063.0119552410. The cubic root of 787532640 is about 923.4701334175.

The spelling of 787532640 in words is "seven hundred eighty-seven million, five hundred thirty-two thousand, six hundred forty".