77333040 has 120 divisors (see below), whose sum is σ = 273427440. Its totient is φ = 19533312.

The previous prime is 77333027. The next prime is 77333041. The reversal of 77333040 is 4033377.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 77332995 and 77333013.

It is not an unprimeable number, because it can be changed into a prime (77333041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10854 + ... + 16506.

It is an arithmetic number, because the mean of its divisors is an integer number (2278562).

Almost surely, 2^77333040 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 77333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136713720).

77333040 is an abundant number, since it is smaller than the sum of its proper divisors (196094400).

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

77333040 is a wasteful number, since it uses less digits than its factorization.

77333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 77333040 is about 8793.9206273425. The cubic root of 77333040 is about 426.0445632149.

The spelling of 77333040 in words is "seventy-seven million, three hundred thirty-three thousand, forty".