75869640 has 576 divisors, whose sum is σ = 345720960. Its totient is φ = 14192640.

The previous prime is 75869627. The next prime is 75869653. The reversal of 75869640 is 4696857.

75869640 is a `hidden beast` number, since 7 + 586 + 9 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (75869627) and next prime (75869653).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3298669 + ... + 3298691.

It is an arithmetic number, because the mean of its divisors is an integer number (600210).

It is a vampire number, since it can be written as 7854 ⋅ 9660 (with its own digits).

Almost surely, 2^75869640 is an apocalyptic number.

75869640 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 75869640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172860480).

75869640 is an abundant number, since it is smaller than the sum of its proper divisors (269851320).

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

75869640 is a wasteful number, since it uses less digits than its factorization.

75869640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 75869640 is about 8710.3180194526. The cubic root of 75869640 is about 423.3400347518.

The spelling of 75869640 in words is "seventy-five million, eight hundred sixty-nine thousand, six hundred forty".