77372064 has 192 divisors, whose sum is σ = 281594880. Its totient is φ = 20079360.

The previous prime is 77372017. The next prime is 77372081. The reversal of 77372064 is 46027377.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65947 + ... + 67109.

It is an arithmetic number, because the mean of its divisors is an integer number (1466640).

Almost surely, 2^77372064 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 77372064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140797440).

77372064 is an abundant number, since it is smaller than the sum of its proper divisors (204222816).

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

77372064 is a wasteful number, since it uses less digits than its factorization.

77372064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 77372064 is about 8796.1391530603. The cubic root of 77372064 is about 426.1162150695.

It can be divided in two parts, 7737 and 2064, that added together give a square (9801 = 99²).

The spelling of 77372064 in words is "seventy-seven million, three hundred seventy-two thousand, sixty-four".