78770750520 has 512 divisors, whose sum is σ = 325531975680. Its totient is φ = 14734663680.

The previous prime is 78770750507. The next prime is 78770750593. The reversal of 78770750520 is 2505707787.

It is a super-2 number, since 2×78770750520² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78770750520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3601939 + ... + 3623741.

It is an arithmetic number, because the mean of its divisors is an integer number (635804640).

Almost surely, 2^78770750520 is an apocalyptic number.

78770750520 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 78770750520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162765987840).

78770750520 is an abundant number, since it is smaller than the sum of its proper divisors (246761225160).

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

78770750520 is a wasteful number, since it uses less digits than its factorization.

78770750520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21875 (or 21871 counting only the distinct ones).

The product of its (nonzero) digits is 960400, while the sum is 48.

The spelling of 78770750520 in words is "seventy-eight billion, seven hundred seventy million, seven hundred fifty thousand, five hundred twenty".