77402916 has 54 divisors (see below), whose sum is σ = 201308562. Its totient is φ = 25061760.

The previous prime is 77402911. The next prime is 77402933. The reversal of 77402916 is 61920477.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 26936100 + 50466816 = 5190^2 + 7104^2 .

It is a super-3 number, since 3×77402916³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77402911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 337890 + ... + 338118.

Almost surely, 2^77402916 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 77402916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100654281).

77402916 is an abundant number, since it is smaller than the sum of its proper divisors (123905646).

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

77402916 is a wasteful number, since it uses less digits than its factorization.

77402916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 77402916 is about 8797.8927022327. The cubic root of 77402916 is about 426.1728452871.

The spelling of 77402916 in words is "seventy-seven million, four hundred two thousand, nine hundred sixteen".