77325040 has 80 divisors (see below), whose sum is σ = 195300000. Its totient is φ = 28302336.

The previous prime is 77325037. The next prime is 77325043. The reversal of 77325040 is 4052377.

It is an interprime number because it is at equal distance from previous prime (77325037) and next prime (77325043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×77325040² = 11958323622003200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77325043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154711 + ... + 155209.

It is an arithmetic number, because the mean of its divisors is an integer number (2441250).

Almost surely, 2^77325040 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 77325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97650000).

77325040 is an abundant number, since it is smaller than the sum of its proper divisors (117974960).

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

77325040 is a wasteful number, since it uses less digits than its factorization.

77325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 77325040 is about 8793.4657558894. The cubic root of 77325040 is about 426.0298714607.

The spelling of 77325040 in words is "seventy-seven million, three hundred twenty-five thousand, forty".