77120802 has 128 divisors (see below), whose sum is σ = 200275200. Its totient is φ = 21954240.

The previous prime is 77120783. The next prime is 77120803. The reversal of 77120802 is 20802177.

It is a super-2 number, since 2×77120802² = 11895236202246408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (77120803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2084328 + ... + 2084364.

It is an arithmetic number, because the mean of its divisors is an integer number (1564650).

Almost surely, 2^77120802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77120802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100137600).

77120802 is an abundant number, since it is smaller than the sum of its proper divisors (123154398).

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

77120802 is a wasteful number, since it uses less digits than its factorization.

77120802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 77120802 is about 8781.8450225451. The cubic root of 77120802 is about 425.6544509886.

Adding to 77120802 its reverse (20802177), we get a palindrome (97922979).

The spelling of 77120802 in words is "seventy-seven million, one hundred twenty thousand, eight hundred two".