75990964 has 48 divisors (see below), whose sum is σ = 156956800. Its totient is φ = 32175360.

The previous prime is 75990949. The next prime is 75990979. The reversal of 75990964 is 46909957.

It is an interprime number because it is at equal distance from previous prime (75990949) and next prime (75990979).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132799 + ... + 133369.

It is a vampire number, since it can be written as 7994 ⋅ 9506 (with its own digits).

Almost surely, 2^75990964 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 75990964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78478400).

75990964 is an abundant number, since it is smaller than the sum of its proper divisors (80965836).

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

75990964 is a wasteful number, since it uses less digits than its factorization.

75990964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

The square root of 75990964 is about 8717.2796215333. The cubic root of 75990964 is about 423.5655705225.

The spelling of 75990964 in words is "seventy-five million, nine hundred ninety thousand, nine hundred sixty-four".