77372070480 has 320 divisors, whose sum is σ = 274844551680. Its totient is φ = 19991494656.

The previous prime is 77372070469. The next prime is 77372070487. The reversal of 77372070480 is 8407027377.

77372070480 is a `hidden beast` number, since 77 + 37 + 2 + 0 + 70 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77372070487) 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, 20537557 + ... + 20541323.

It is an arithmetic number, because the mean of its divisors is an integer number (858889224).

Almost surely, 2^77372070480 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 77372070480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137422275840).

77372070480 is an abundant number, since it is smaller than the sum of its proper divisors (197472481200).

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

77372070480 is a wasteful number, since it uses less digits than its factorization.

77372070480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 77372070480 in words is "seventy-seven billion, three hundred seventy-two million, seventy thousand, four hundred eighty".