78835120 has 240 divisors, whose sum is σ = 245073600. Its totient is φ = 23482368.

The previous prime is 78835117. The next prime is 78835157. The reversal of 78835120 is 2153887.

It is a super-2 number, since 2×78835120² = 12429952290828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4637352 + ... + 4637368.

It is an arithmetic number, because the mean of its divisors is an integer number (1021140).

Almost surely, 2^78835120 is an apocalyptic number.

78835120 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 78835120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122536800).

78835120 is an abundant number, since it is smaller than the sum of its proper divisors (166238480).

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

78835120 is a wasteful number, since it uses less digits than its factorization.

78835120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 78835120 is about 8878.9143480495. The cubic root of 78835120 is about 428.7853226487.

The spelling of 78835120 in words is "seventy-eight million, eight hundred thirty-five thousand, one hundred twenty".