77749672 has 192 divisors, whose sum is σ = 212587200. Its totient is φ = 26127360.

The previous prime is 77749663. The next prime is 77749709. The reversal of 77749672 is 27694777.

It is a super-2 number, since 2×77749672² = 12090022992215168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065028 + ... + 1065100.

It is an arithmetic number, because the mean of its divisors is an integer number (1107225).

Almost surely, 2^77749672 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 77749672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106293600).

77749672 is an abundant number, since it is smaller than the sum of its proper divisors (134837528).

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

77749672 is a wasteful number, since it uses less digits than its factorization.

77749672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 1037232, while the sum is 49.

The square root of 77749672 is about 8817.5774450809. The cubic root of 77749672 is about 426.8082987916.

The spelling of 77749672 in words is "seventy-seven million, seven hundred forty-nine thousand, six hundred seventy-two".