77699520 has 336 divisors, whose sum is σ = 303397920. Its totient is φ = 18653184.

The previous prime is 77699513. The next prime is 77699527. The reversal of 77699520 is 2599677.

It is an interprime number because it is at equal distance from previous prime (77699513) and next prime (77699527).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77699527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3378229 + ... + 3378251.

It is an arithmetic number, because the mean of its divisors is an integer number (902970).

Almost surely, 2^77699520 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 77699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151698960).

77699520 is an abundant number, since it is smaller than the sum of its proper divisors (225698400).

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

77699520 is a wasteful number, since it uses less digits than its factorization.

77699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 77699520 is about 8814.7331213146. The cubic root of 77699520 is about 426.7165089343.

The spelling of 77699520 in words is "seventy-seven million, six hundred ninety-nine thousand, five hundred twenty".