787812480 has 640 divisors, whose sum is σ = 3483406080. Its totient is φ = 165224448.

The previous prime is 787812461. The next prime is 787812527. The reversal of 787812480 is 84218787.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717357 + ... + 4717523.

It is an arithmetic number, because the mean of its divisors is an integer number (5442822).

Almost surely, 2^787812480 is an apocalyptic number.

787812480 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 787812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741703040).

787812480 is an abundant number, since it is smaller than the sum of its proper divisors (2695593600).

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

787812480 is a wasteful number, since it uses less digits than its factorization.

787812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 787812480 is about 28067.9974348011. The cubic root of 787812480 is about 923.5795017009.

The spelling of 787812480 in words is "seven hundred eighty-seven million, eight hundred twelve thousand, four hundred eighty".