76198950 has 72 divisors (see below), whose sum is σ = 211816800. Its totient is φ = 19615680.

The previous prime is 76198939. The next prime is 76198973. The reversal of 76198950 is 5989167.

It is a super-2 number, since 2×76198950² = 11612559962205000, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 76198896 and 76198905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10131 + ... + 15969.

It is an arithmetic number, because the mean of its divisors is an integer number (2941900).

Almost surely, 2^76198950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76198950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105908400).

76198950 is an abundant number, since it is smaller than the sum of its proper divisors (135617850).

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

76198950 is a wasteful number, since it uses less digits than its factorization.

76198950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 76198950 is about 8729.2009943637. The cubic root of 76198950 is about 423.9516491382.

The spelling of 76198950 in words is "seventy-six million, one hundred ninety-eight thousand, nine hundred fifty".