78353268 has 48 divisors (see below), whose sum is σ = 209381760. Its totient is φ = 22339584.

The previous prime is 78353263. The next prime is 78353269. The reversal of 78353268 is 86235387.

It is a super-2 number, since 2×78353268² = 12278469212559648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78353263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67380 + ... + 68532.

It is an arithmetic number, because the mean of its divisors is an integer number (4362120).

Almost surely, 2^78353268 is an apocalyptic number.

It is an amenable number.

78353268 is an abundant number, since it is smaller than the sum of its proper divisors (131028492).

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

78353268 is a wasteful number, since it uses less digits than its factorization.

78353268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1974 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 78353268 is about 8851.7381344005. The cubic root of 78353268 is about 427.9099367953.

The spelling of 78353268 in words is "seventy-eight million, three hundred fifty-three thousand, two hundred sixty-eight".