78769152 has 352 divisors, whose sum is σ = 298698240. Its totient is φ = 19906560.

The previous prime is 78769151. The next prime is 78769199. The reversal of 78769152 is 25196787.

It is a tau number, because it is divible by the number of its divisors (352).

Its product of digits (211680) is a multiple of the sum of its prime divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 78769098 and 78769107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78769151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128878 + ... + 2128914.

Almost surely, 2^78769152 is an apocalyptic number.

78769152 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 78769152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149349120).

78769152 is an abundant number, since it is smaller than the sum of its proper divisors (219929088).

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

78769152 is a wasteful number, since it uses less digits than its factorization.

78769152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 78769152 is about 8875.1987020010. The cubic root of 78769152 is about 428.6656889810.

The spelling of 78769152 in words is "seventy-eight million, seven hundred sixty-nine thousand, one hundred fifty-two".