76941400 has 48 divisors (see below), whose sum is σ = 179609040. Its totient is φ = 30652800.

The previous prime is 76941391. The next prime is 76941401. The reversal of 76941400 is 414967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76941401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61582 + ... + 62818.

It is an arithmetic number, because the mean of its divisors is an integer number (3741855).

Almost surely, 2^76941400 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 76941400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89804520).

76941400 is an abundant number, since it is smaller than the sum of its proper divisors (102667640).

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

76941400 is a wasteful number, since it uses less digits than its factorization.

76941400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 76941400 is about 8771.6247069742. The cubic root of 76941400 is about 425.3241356576.

The spelling of 76941400 in words is "seventy-six million, nine hundred forty-one thousand, four hundred".