73770762240 has 576 divisors, whose sum is σ = 297778719420. Its totient is φ = 16845373440.

The previous prime is 73770762227. The next prime is 73770762253. The reversal of 73770762240 is 4226707737.

It is an interprime number because it is at equal distance from previous prime (73770762227) and next prime (73770762253).

It can be written as a sum of positive squares in 2 ways, for example, as 73705734144 + 65028096 = 271488^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×73770762240² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72252930 + ... + 72253950.

Almost surely, 2^73770762240 is an apocalyptic number.

73770762240 is a gapful number since it is divisible by the number (70) 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 73770762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148889359710).

73770762240 is an abundant number, since it is smaller than the sum of its proper divisors (224007957180).

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

73770762240 is a wasteful number, since it uses less digits than its factorization.

73770762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 73770762240 in words is "seventy-three billion, seven hundred seventy million, seven hundred sixty-two thousand, two hundred forty".