787993920 has 560 divisors, whose sum is σ = 3310420608. Its totient is φ = 174182400.

The previous prime is 787993909. The next prime is 787993931. The reversal of 787993920 is 29399787.

It is an interprime number because it is at equal distance from previous prime (787993909) and next prime (787993931).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 7801870 + ... + 7801970.

Almost surely, 2^787993920 is an apocalyptic number.

787993920 is a gapful number since it is divisible by the number (70) 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 787993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655210304).

787993920 is an abundant number, since it is smaller than the sum of its proper divisors (2522426688).

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

787993920 is a wasteful number, since it uses less digits than its factorization.

787993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 787993920 is about 28071.2293995115. The cubic root of 787993920 is about 923.6503990299.

The spelling of 787993920 in words is "seven hundred eighty-seven million, nine hundred ninety-three thousand, nine hundred twenty".