77796040 has 64 divisors (see below), whose sum is σ = 202636800. Its totient is φ = 26327808.

The previous prime is 77796031. The next prime is 77796041. The reversal of 77796040 is 4069777.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 77795984 and 77796002.

It is not an unprimeable number, because it can be changed into a prime (77796041) 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, 20362 + ... + 23878.

It is an arithmetic number, because the mean of its divisors is an integer number (3166200).

Almost surely, 2^77796040 is an apocalyptic number.

77796040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77796040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101318400).

77796040 is an abundant number, since it is smaller than the sum of its proper divisors (124840760).

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

77796040 is a wasteful number, since it uses less digits than its factorization.

77796040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 77796040 is about 8820.2063467926. The cubic root of 77796040 is about 426.8931279356.

The spelling of 77796040 in words is "seventy-seven million, seven hundred ninety-six thousand, forty".