77401152 has 84 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 25473792.

The previous prime is 77401133. The next prime is 77401171. The reversal of 77401152 is 25110477.

It is an interprime number because it is at equal distance from previous prime (77401133) and next prime (77401171).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46999 + ... + 48617.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 2^77401152 is an apocalyptic number.

77401152 is a gapful number since it is divisible by the number (72) 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 77401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

77401152 is an abundant number, since it is smaller than the sum of its proper divisors (147266928).

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

77401152 is a wasteful number, since it uses less digits than its factorization.

77401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 77401152 is about 8797.7924503821. The cubic root of 77401152 is about 426.1696077923.

The spelling of 77401152 in words is "seventy-seven million, four hundred one thousand, one hundred fifty-two".