76780416 has 64 divisors (see below), whose sum is σ = 206611200. Its totient is φ = 25259520.

The previous prime is 76780399. The next prime is 76780427. The reversal of 76780416 is 61408767.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×76780416² = 11790464562266112, which contains 22 as substring.

It is a congruent number.

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, 29071 + ... + 31601.

It is an arithmetic number, because the mean of its divisors is an integer number (3228300).

Almost surely, 2^76780416 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 76780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103305600).

76780416 is an abundant number, since it is smaller than the sum of its proper divisors (129830784).

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

76780416 is a wasteful number, since it uses less digits than its factorization.

76780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 76780416 is about 8762.4434948249. The cubic root of 76780416 is about 425.0272942102.

The spelling of 76780416 in words is "seventy-six million, seven hundred eighty thousand, four hundred sixteen".