77372416 has 44 divisors (see below), whose sum is σ = 168754680. Its totient is φ = 35164160.

The previous prime is 77372413. The next prime is 77372419. The reversal of 77372416 is 61427377.

It is an interprime number because it is at equal distance from previous prime (77372413) and next prime (77372419).

It is a tau number, because it is divible by the number of its divisors (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77372411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7830 + ... + 14698.

Almost surely, 2^77372416 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 77372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84377340).

77372416 is an abundant number, since it is smaller than the sum of its proper divisors (91382264).

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

77372416 is a wasteful number, since it uses less digits than its factorization.

77372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900 (or 6882 counting only the distinct ones).

The product of its digits is 49392, while the sum is 37.

The square root of 77372416 is about 8796.1591618160. The cubic root of 77372416 is about 426.1168612660.

It can be divided in two parts, 7737 and 2416, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 77372416 in words is "seventy-seven million, three hundred seventy-two thousand, four hundred sixteen".