75951380 has 48 divisors (see below), whose sum is σ = 164956176. Its totient is φ = 29352960.

The previous prime is 75951371. The next prime is 75951397. The reversal of 75951380 is 8315957.

It can be written as a sum of positive squares in 8 ways, for example, as 9821956 + 66129424 = 3134^2 + 8132^2 .

It is a super-2 number, since 2×75951380² = 11537224247808800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145520 + ... + 146040.

It is an arithmetic number, because the mean of its divisors is an integer number (3436587).

Almost surely, 2^75951380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75951380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82478088).

75951380 is an abundant number, since it is smaller than the sum of its proper divisors (89004796).

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

75951380 is a wasteful number, since it uses less digits than its factorization.

75951380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 75951380 is about 8715.0088927092. The cubic root of 75951380 is about 423.4920120767.

The spelling of 75951380 in words is "seventy-five million, nine hundred fifty-one thousand, three hundred eighty".