76269375 has 120 divisors (see below), whose sum is σ = 170570400. Its totient is φ = 31968000.

The previous prime is 76269373. The next prime is 76269377. The reversal of 76269375 is 57396267.

76269375 = 280² + 281² + ... + 630².

It is an interprime number because it is at equal distance from previous prime (76269373) and next prime (76269377).

It is not a de Polignac number, because 76269375 - 2¹ = 76269373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 76269375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76269373) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 511801 + ... + 511949.

It is an arithmetic number, because the mean of its divisors is an integer number (1421420).

Almost surely, 2^76269375 is an apocalyptic number.

76269375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76269375 is an abundant number, since it is smaller than the sum of its proper divisors (94301025).

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

76269375 is a wasteful number, since it uses less digits than its factorization.

76269375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 76269375 is about 8733.2339370934. The cubic root of 76269375 is about 424.0822178730.

The spelling of 76269375 in words is "seventy-six million, two hundred sixty-nine thousand, three hundred seventy-five".