77262037920 has 960 divisors, whose sum is σ = 306656824320. Its totient is φ = 18218483712.

The previous prime is 77262037901. The next prime is 77262037921. The reversal of 77262037920 is 2973026277.

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

It is not an unprimeable number, because it can be changed into a prime (77262037921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 400321344 + ... + 400321536.

It is an arithmetic number, because the mean of its divisors is an integer number (319434192).

Almost surely, 2^77262037920 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 77262037920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153328412160).

77262037920 is an abundant number, since it is smaller than the sum of its proper divisors (229394786400).

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

77262037920 is a wasteful number, since it uses less digits than its factorization.

77262037920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 77262037920 in words is "seventy-seven billion, two hundred sixty-two million, thirty-seven thousand, nine hundred twenty".