787396464 has 100 divisors (see below), whose sum is σ = 2284809120. Its totient is φ = 261792000.

The previous prime is 787396459. The next prime is 787396501. The reversal of 787396464 is 464693787.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 787396464.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 972892 + ... + 973700.

Almost surely, 2^787396464 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 787396464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142404560).

787396464 is an abundant number, since it is smaller than the sum of its proper divisors (1497412656).

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

787396464 is a wasteful number, since it uses less digits than its factorization.

787396464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1565 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 787396464 is about 28060.5855961703. The cubic root of 787396464 is about 923.4169031506.

The spelling of 787396464 in words is "seven hundred eighty-seven million, three hundred ninety-six thousand, four hundred sixty-four".