78779619072 has 972 divisors, whose sum is σ = 298134651360. Its totient is φ = 19926466560.

The previous prime is 78779619053. The next prime is 78779619119. The reversal of 78779619072 is 27091697787.

78779619072 is a `hidden beast` number, since 7 + 8 + 7 + 7 + 9 + 619 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×78779619072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 997210329 + ... + 997210407.

Almost surely, 2^78779619072 is an apocalyptic number.

78779619072 is a gapful number since it is divisible by the number (72) 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 78779619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149067325680).

78779619072 is an abundant number, since it is smaller than the sum of its proper divisors (219355032288).

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

78779619072 is a wasteful number, since it uses less digits than its factorization.

78779619072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 63.

The spelling of 78779619072 in words is "seventy-eight billion, seven hundred seventy-nine million, six hundred nineteen thousand, seventy-two".