76421376 has 108 divisors (see below), whose sum is σ = 225994860. Its totient is φ = 24821760.

The previous prime is 76421333. The next prime is 76421381. The reversal of 76421376 is 67312467.

76421376 = T₂₇₀ + T₂₇₁ + ... + T₇₈₁.

76421376 is a `hidden beast` number, since 7 + 642 + 1 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 43243776 = 5760^2 + 6576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 76421376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94060 + ... + 94868.

It is an arithmetic number, because the mean of its divisors is an integer number (2092545).

Almost surely, 2^76421376 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 76421376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112997430).

76421376 is an abundant number, since it is smaller than the sum of its proper divisors (149573484).

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

76421376 is a wasteful number, since it uses less digits than its factorization.

76421376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 855 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 76421376 is about 8741.9320518979. The cubic root of 76421376 is about 424.3637557165.

The spelling of 76421376 in words is "seventy-six million, four hundred twenty-one thousand, three hundred seventy-six".