788652480 has 448 divisors, whose sum is σ = 3202301952. Its totient is φ = 159682560.

The previous prime is 788652461. The next prime is 788652481. The reversal of 788652480 is 84256887.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788652481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3474127 + ... + 3474353.

Almost surely, 2^788652480 is an apocalyptic number.

788652480 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 788652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601150976).

788652480 is an abundant number, since it is smaller than the sum of its proper divisors (2413649472).

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

788652480 is a wasteful number, since it uses less digits than its factorization.

788652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 788652480 is about 28082.9571092504. The cubic root of 788652480 is about 923.9076386757.

The spelling of 788652480 in words is "seven hundred eighty-eight million, six hundred fifty-two thousand, four hundred eighty".