77099680 has 192 divisors, whose sum is σ = 225566208. Its totient is φ = 24330240.

The previous prime is 77099677. The next prime is 77099689. The reversal of 77099680 is 8699077.

It is a super-2 number, since 2×77099680² = 11888721312204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 77099680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77099689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056124 + ... + 1056196.

It is an arithmetic number, because the mean of its divisors is an integer number (1174824).

Almost surely, 2^77099680 is an apocalyptic number.

77099680 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 77099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112783104).

77099680 is an abundant number, since it is smaller than the sum of its proper divisors (148466528).

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

77099680 is a wasteful number, since it uses less digits than its factorization.

77099680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 77099680 is about 8780.6423455235. The cubic root of 77099680 is about 425.6155877420.

The spelling of 77099680 in words is "seventy-seven million, ninety-nine thousand, six hundred eighty".