772611840 has 864 divisors, whose sum is σ = 3642702336. Its totient is φ = 145981440.

The previous prime is 772611799. The next prime is 772611841. The reversal of 772611840 is 48116277.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 772611795 and 772611804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772611841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11531487 + ... + 11531553.

Almost surely, 2^772611840 is an apocalyptic number.

772611840 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 772611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821351168).

772611840 is an abundant number, since it is smaller than the sum of its proper divisors (2870090496).

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

772611840 is a wasteful number, since it uses less digits than its factorization.

772611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 772611840 is about 27795.8960999641. The cubic root of 772611840 is about 917.6008061152.

The spelling of 772611840 in words is "seven hundred seventy-two million, six hundred eleven thousand, eight hundred forty".