76893950 has 96 divisors (see below), whose sum is σ = 178083840. Its totient is φ = 24105600.

The previous prime is 76893913. The next prime is 76893959. The reversal of 76893950 is 5939867.

It is a junction number, because it is equal to n+sod(n) for n = 76893895 and 76893904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76893959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205964 + ... + 206336.

It is an arithmetic number, because the mean of its divisors is an integer number (1855040).

Almost surely, 2^76893950 is an apocalyptic number.

76893950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76893950 is an abundant number, since it is smaller than the sum of its proper divisors (101189890).

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

76893950 is a wasteful number, since it uses less digits than its factorization.

76893950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 76893950 is about 8768.9195457593. The cubic root of 76893950 is about 425.2366847735.

The spelling of 76893950 in words is "seventy-six million, eight hundred ninety-three thousand, nine hundred fifty".