78253000 has 96 divisors (see below), whose sum is σ = 213141240. Its totient is φ = 26812800.

The previous prime is 78252973. The next prime is 78253003. The reversal of 78253000 is 35287.

It can be written as a sum of positive squares in 4 ways, for example, as 12545764 + 65707236 = 3542^2 + 8106^2 .

It is a sliding number, since 78253000 = 128000 + 78125000 and 1/128000 + 1/78125000 = 0.0000078253000.

It is a super-2 number, since 2×78253000² = 12247064018000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (78253003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48202 + ... + 49798.

Almost surely, 2^78253000 is an apocalyptic number.

78253000 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 78253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106570620).

78253000 is an abundant number, since it is smaller than the sum of its proper divisors (134888240).

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

78253000 is a wasteful number, since it uses less digits than its factorization.

78253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 78253000 is about 8846.0725748775. The cubic root of 78253000 is about 427.7273279960.

Adding to 78253000 its reverse (35287), we get a palindrome (78288287).

The spelling of 78253000 in words is "seventy-eight million, two hundred fifty-three thousand".