75979050 has 72 divisors (see below), whose sum is σ = 216149856. Its totient is φ = 17302080.

The previous prime is 75979039. The next prime is 75979061. The reversal of 75979050 is 5097957.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75979039) and next prime (75979061).

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

It is a junction number, because it is equal to n+sod(n) for n = 75978993 and 75979011.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282316 + ... + 282584.

Almost surely, 2^75979050 is an apocalyptic number.

75979050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75979050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108074928).

75979050 is an abundant number, since it is smaller than the sum of its proper divisors (140170806).

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

75979050 is a wasteful number, since it uses less digits than its factorization.

75979050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 99225, while the sum is 42.

The square root of 75979050 is about 8716.5962393586. The cubic root of 75979050 is about 423.5434335749.

Multiplying 75979050 by its sum of digits (42), we get a square (3191120100 = 56490²).

75979050 divided by its sum of digits (42) gives a square (1809025 = 1345²).

The spelling of 75979050 in words is "seventy-five million, nine hundred seventy-nine thousand, fifty".