76407216 has 40 divisors (see below), whose sum is σ = 201981120. Its totient is φ = 24876096.

The previous prime is 76407193. The next prime is 76407239. The reversal of 76407216 is 61270467.

It is an interprime number because it is at equal distance from previous prime (76407193) and next prime (76407239).

It is a super-3 number, since 3×76407216³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16446 + ... + 20573.

It is an arithmetic number, because the mean of its divisors is an integer number (5049528).

Almost surely, 2^76407216 is an apocalyptic number.

It is an amenable number.

76407216 is an abundant number, since it is smaller than the sum of its proper divisors (125573904).

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

76407216 is a wasteful number, since it uses less digits than its factorization.

76407216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37073 (or 37067 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 76407216 is about 8741.1221247618. The cubic root of 76407216 is about 424.3375441936.

The spelling of 76407216 in words is "seventy-six million, four hundred seven thousand, two hundred sixteen".