75477620 has 48 divisors (see below), whose sum is σ = 170181648. Its totient is φ = 28016640.

The previous prime is 75477601. The next prime is 75477631. The reversal of 75477620 is 2677457.

It can be written as a sum of positive squares in 8 ways, for example, as 13162384 + 62315236 = 3628^2 + 7894^2 .

It is a super-2 number, since 2×75477620² = 11393742241728800, 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, 23300 + ... + 26340.

It is an arithmetic number, because the mean of its divisors is an integer number (3545451).

Almost surely, 2^75477620 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 75477620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85090824).

75477620 is an abundant number, since it is smaller than the sum of its proper divisors (94704028).

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

75477620 is a wasteful number, since it uses less digits than its factorization.

75477620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 75477620 is about 8687.7856787561. The cubic root of 75477620 is about 422.6096397413.

The spelling of 75477620 in words is "seventy-five million, four hundred seventy-seven thousand, six hundred twenty".