78337952 has 48 divisors (see below), whose sum is σ = 192290112. Its totient is φ = 30520320.

The previous prime is 78337951. The next prime is 78337967. The reversal of 78337952 is 25973387.

It is a super-2 number, since 2×78337952² = 12273669447108608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (78337951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13433 + ... + 18360.

It is an arithmetic number, because the mean of its divisors is an integer number (4006044).

Almost surely, 2^78337952 is an apocalyptic number.

It is an amenable number.

78337952 is an abundant number, since it is smaller than the sum of its proper divisors (113952160).

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

78337952 is a wasteful number, since it uses less digits than its factorization.

78337952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31821 (or 31813 counting only the distinct ones).

The product of its digits is 317520, while the sum is 44.

The square root of 78337952 is about 8850.8729512970. The cubic root of 78337952 is about 427.8820532713.

The spelling of 78337952 in words is "seventy-eight million, three hundred thirty-seven thousand, nine hundred fifty-two".