76950 has 60 divisors (see below), whose sum is σ = 225060. Its totient is φ = 19440.

The previous prime is 76949. The next prime is 76961. The reversal of 76950 is 5967.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4041 + ... + 4059.

It is an arithmetic number, because the mean of its divisors is an integer number (3751).

2⁷⁶⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112530).

76950 is an abundant number, since it is smaller than the sum of its proper divisors (148110).

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

76950 is a wasteful number, since it uses less digits than its factorization.

76950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 76950 is about 277.3986301336. The cubic root of 76950 is about 42.5339981705.

76950 divided by its sum of digits (27) gives a triangular number (2850 = T₇₅).

The spelling of 76950 in words is "seventy-six thousand, nine hundred fifty".