78958152 has 240 divisors, whose sum is σ = 276344640. Its totient is φ = 20621952.

The previous prime is 78958151. The next prime is 78958163. The reversal of 78958152 is 25185987.

It is a happy number.

Its product of digits (201600) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 78958098 and 78958107.

It is not an unprimeable number, because it can be changed into a prime (78958151) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 766533 + ... + 766635.

It is an arithmetic number, because the mean of its divisors is an integer number (1151436).

Almost surely, 2^78958152 is an apocalyptic number.

78958152 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 78958152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138172320).

78958152 is an abundant number, since it is smaller than the sum of its proper divisors (197386488).

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

78958152 is a wasteful number, since it uses less digits than its factorization.

78958152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 78958152 is about 8885.8399715502. The cubic root of 78958152 is about 429.0082643036.

The spelling of 78958152 in words is "seventy-eight million, nine hundred fifty-eight thousand, one hundred fifty-two".